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Evaluate $36^{ \frac{ 5 }{2} }$ .
Evaluate $125^{ -\frac{ 2 }{3} }$ .
Solve $\sqrt{x + 2} = 8$ .
Solve $\sqrt{x + 6} = x$ . (Squaring gives two candidates; enter the one that works.)
Solve $\sqrt[3]{x - 8} = 3$ .
Write $\sqrt{-121}$ in terms of $i$ .
Simplify $i^{ 10 }$ .
Which number is real?
1. $(9i)^2$
2. $\sqrt{-9}$
3. $9 + i$
Which number is real?
1. $(8i)^2$
2. $\sqrt{-8}$
3. $8 + i$
Which number is real?
1. $(5i)^2$
2. $\sqrt{-5}$
3. $5 + i$
Which number is real?
1. $(6i)^2$
2. $\sqrt{-6}$
3. $6 + i$
Which number is real?
1. $(7i)^2$
2. $\sqrt{-7}$
3. $7 + i$
Which number is real?
1. $(2i)^2$
2. $\sqrt{-2}$
3. $2 + i$
Which number is real?
1. $(3i)^2$
2. $\sqrt{-3}$
3. $3 + i$
Which number is real?
1. $(4i)^2$
2. $\sqrt{-4}$
3. $4 + i$
Add: $(9 + 8i) + (2 + 1i)$ .
Multiply: $(2 + 8i)(2 - 8i)$ .
Expand $(3 + 6i)^2$ .
$x^2 + 36 = 0$ . Enter the solution with positive imaginary part.
$x^2 - 4x + 20 = 0$ . Enter the solution with positive imaginary part.
Find the discriminant of $1x^2 + 7x + 4 = 0$ .
A polynomial with real coefficients has the zero $4 + 4i$ . Which other number must be a zero?
1. $4 - 4i$
2. $-4 - 4i$
3. $-4 + 4i$
A polynomial with real coefficients has the zero $8 + 7i$ . Which other number must be a zero?
1. $8 - 7i$
2. $-8 - 7i$
3. $-8 + 7i$
A polynomial with real coefficients has the zero $4 + 5i$ . Which other number must be a zero?
1. $4 - 5i$
2. $-4 - 5i$
3. $-4 + 5i$
A polynomial with real coefficients has the zero $6 + 5i$ . Which other number must be a zero?
1. $6 - 5i$
2. $-6 - 5i$
3. $-6 + 5i$
A polynomial with real coefficients has the zero $6 + 2i$ . Which other number must be a zero?
1. $6 - 2i$
2. $-6 - 2i$
3. $-6 + 2i$
A polynomial with real coefficients has the zero $2 + 1i$ . Which other number must be a zero?
1. $2 - 1i$
2. $-2 - 1i$
3. $-2 + 1i$
A polynomial with real coefficients has the zero $8 + 8i$ . Which other number must be a zero?
1. $8 - 8i$
2. $-8 - 8i$
3. $-8 + 8i$
A polynomial with real coefficients has the zero $5 + 4i$ . Which other number must be a zero?
1. $5 - 4i$
2. $-5 - 4i$
3. $-5 + 4i$
A polynomial with real coefficients has the zero $6 + 1i$ . Which other number must be a zero?
1. $6 - 1i$
2. $-6 - 1i$
3. $-6 + 1i$
A polynomial with real coefficients has the zero $4 + 9i$ . Which other number must be a zero?
1. $4 - 9i$
2. $-4 - 9i$
3. $-4 + 9i$
A polynomial with real coefficients has the zero $5 + 9i$ . Which other number must be a zero?
1. $5 - 9i$
2. $-5 - 9i$
3. $-5 + 9i$
A polynomial with real coefficients has the zero $9 + 8i$ . Which other number must be a zero?
1. $9 - 8i$
2. $-9 - 8i$
3. $-9 + 8i$
A polynomial with real coefficients has the zero $2 + 9i$ . Which other number must be a zero?
1. $2 - 9i$
2. $-2 - 9i$
3. $-2 + 9i$
A polynomial with real coefficients has the zero $3 + 9i$ . Which other number must be a zero?
1. $3 - 9i$
2. $-3 - 9i$
3. $-3 + 9i$
A polynomial with real coefficients has the zero $5 + 6i$ . Which other number must be a zero?
1. $5 - 6i$
2. $-5 - 6i$
3. $-5 + 6i$
A polynomial with real coefficients has the zero $6 + 4i$ . Which other number must be a zero?
1. $6 - 4i$
2. $-6 - 4i$
3. $-6 + 4i$
A polynomial with real coefficients has the zero $4 + 6i$ . Which other number must be a zero?
1. $4 - 6i$
2. $-4 - 6i$
3. $-4 + 6i$
A polynomial with real coefficients has the zero $1 + 5i$ . Which other number must be a zero?
1. $1 - 5i$
2. $-1 - 5i$
3. $-1 + 5i$
A polynomial with real coefficients has the zero $6 + 7i$ . Which other number must be a zero?
1. $6 - 7i$
2. $-6 - 7i$
3. $-6 + 7i$
A polynomial with real coefficients has the zero $1 + 2i$ . Which other number must be a zero?
1. $1 - 2i$
2. $-1 - 2i$
3. $-1 + 2i$
A polynomial with real coefficients has the zero $2 + 3i$ . Which other number must be a zero?
1. $2 - 3i$
2. $-2 - 3i$
3. $-2 + 3i$
A polynomial with real coefficients has the zero $9 + 5i$ . Which other number must be a zero?
1. $9 - 5i$
2. $-9 - 5i$
3. $-9 + 5i$
A polynomial with real coefficients has the zero $2 + 4i$ . Which other number must be a zero?
1. $2 - 4i$
2. $-2 - 4i$
3. $-2 + 4i$
A polynomial with real coefficients has the zero $9 + 6i$ . Which other number must be a zero?
1. $9 - 6i$
2. $-9 - 6i$
3. $-9 + 6i$
A polynomial with real coefficients has the zero $7 + 6i$ . Which other number must be a zero?
1. $7 - 6i$
2. $-7 - 6i$
3. $-7 + 6i$
A polynomial with real coefficients has the zero $5 + 2i$ . Which other number must be a zero?
1. $5 - 2i$
2. $-5 - 2i$
3. $-5 + 2i$
A polynomial with real coefficients has the zero $5 + 8i$ . Which other number must be a zero?
1. $5 - 8i$
2. $-5 - 8i$
3. $-5 + 8i$
A polynomial with real coefficients has the zero $8 + 3i$ . Which other number must be a zero?
1. $8 - 3i$
2. $-8 - 3i$
3. $-8 + 3i$
A polynomial with real coefficients has the zero $4 + 8i$ . Which other number must be a zero?
1. $4 - 8i$
2. $-4 - 8i$
3. $-4 + 8i$
A polynomial with real coefficients has the zero $2 + 5i$ . Which other number must be a zero?
1. $2 - 5i$
2. $-2 - 5i$
3. $-2 + 5i$
A polynomial with real coefficients has the zero $1 + 9i$ . Which other number must be a zero?
1. $1 - 9i$
2. $-1 - 9i$
3. $-1 + 9i$
A polynomial with real coefficients has the zero $9 + 3i$ . Which other number must be a zero?
1. $9 - 3i$
2. $-9 - 3i$
3. $-9 + 3i$
A polynomial with real coefficients has the zero $3 + 1i$ . Which other number must be a zero?
1. $3 - 1i$
2. $-3 - 1i$
3. $-3 + 1i$
A polynomial with real coefficients has the zero $2 + 7i$ . Which other number must be a zero?
1. $2 - 7i$
2. $-2 - 7i$
3. $-2 + 7i$
A polynomial with real coefficients has the zero $6 + 9i$ . Which other number must be a zero?
1. $6 - 9i$
2. $-6 - 9i$
3. $-6 + 9i$
A polynomial with real coefficients has the zero $1 + 1i$ . Which other number must be a zero?
1. $1 - 1i$
2. $-1 - 1i$
3. $-1 + 1i$
A polynomial with real coefficients has the zero $9 + 2i$ . Which other number must be a zero?
1. $9 - 2i$
2. $-9 - 2i$
3. $-9 + 2i$
A polynomial with real coefficients has the zero $2 + 2i$ . Which other number must be a zero?
1. $2 - 2i$
2. $-2 - 2i$
3. $-2 + 2i$
A polynomial with real coefficients has the zero $3 + 7i$ . Which other number must be a zero?
1. $3 - 7i$
2. $-3 - 7i$
3. $-3 + 7i$
A polynomial with real coefficients has the zero $8 + 2i$ . Which other number must be a zero?
1. $8 - 2i$
2. $-8 - 2i$
3. $-8 + 2i$
A polynomial with real coefficients has the zero $7 + 4i$ . Which other number must be a zero?
1. $7 - 4i$
2. $-7 - 4i$
3. $-7 + 4i$
A polynomial with real coefficients has the zero $9 + 1i$ . Which other number must be a zero?
1. $9 - 1i$
2. $-9 - 1i$
3. $-9 + 1i$
A polynomial with real coefficients has the zero $8 + 4i$ . Which other number must be a zero?
1. $8 - 4i$
2. $-8 - 4i$
3. $-8 + 4i$
A polynomial with real coefficients has the zero $6 + 6i$ . Which other number must be a zero?
1. $6 - 6i$
2. $-6 - 6i$
3. $-6 + 6i$
A polynomial with real coefficients has the zero $8 + 9i$ . Which other number must be a zero?
1. $8 - 9i$
2. $-8 - 9i$
3. $-8 + 9i$
A polynomial with real coefficients has the zero $4 + 2i$ . Which other number must be a zero?
1. $4 - 2i$
2. $-4 - 2i$
3. $-4 + 2i$
A polynomial with real coefficients has the zero $9 + 7i$ . Which other number must be a zero?
1. $9 - 7i$
2. $-9 - 7i$
3. $-9 + 7i$
A polynomial with real coefficients has the zero $3 + 2i$ . Which other number must be a zero?
1. $3 - 2i$
2. $-3 - 2i$
3. $-3 + 2i$
A polynomial with real coefficients has the zero $7 + 2i$ . Which other number must be a zero?
1. $7 - 2i$
2. $-7 - 2i$
3. $-7 + 2i$
A polynomial with real coefficients has the zero $3 + 4i$ . Which other number must be a zero?
1. $3 - 4i$
2. $-3 - 4i$
3. $-3 + 4i$
How many real zeros does $x^2 + 5x + 10$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 4x + 9$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 2x + 20$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 3x + 6$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 1x + 1$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 5x + 12$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 6x + 14$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 3x + 8$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 4x + 13$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 6x + 12$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 3x + 15$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 5x + 7$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 6x + 15$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 5x + 8$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 3x + 18$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 1x + 4$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 2x + 10$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 3x + 9$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 1x + 10$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 2x + 18$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 2x + 9$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 4x + 19$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 2x + 16$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 6x + 20$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 3x + 20$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 2x + 8$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 4x + 17$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 2x + 15$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 3x + 14$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 1x + 18$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 4x + 15$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 1x + 3$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 2x + 12$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 3x + 19$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 3x + 4$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 3x + 13$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 5x + 16$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 4x + 20$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 4x + 10$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 1x + 16$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 5x + 13$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 6x + 11$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 1x + 8$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 3x + 3$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 4x + 5$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 1x + 13$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 6x + 10$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 1x + 20$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 3x + 5$ have?
1. Two
2. One
3. None: two complex zeros
How many real zeros does $x^2 + 1x + 12$ have?
1. Two
2. One
3. None: two complex zeros
Solve $x^2 - 8x + 25 = 0$ . Type each solution as $a + bi$ .

Answers

$7776$
$\frac{1}{25}$
$62$
$3$
$35$
$11 i$
$-1$
$(9i)^2$
$11 + 9 i$
$68$
$-27 + 36 i$
$6 i$
$2 + 4 i$
$33$
$4 - 4i$
None: two complex zeros
$4 + 3 i,\ 4 - 3 i$