What is simplify-4sqrt(-32) ?

The solution to simplify-4sqrt(-32) is -16sqrt(2)i

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simplify-4sqrt(-32)

simplify

- 4 - 32

- 162 i

Solution steps

- 4 - 32

Prime factorization of

32 : 2^{5}

= - 4 - 2^{5}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

- 2^{5} = - 2^{4} \cdot 2

= - 4 - 2^{4} \cdot 2

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

- 2^{4} \cdot 2 = 2^{4} - 2

= - 4 2^{4} - 2

2^{4} = 4

= - 4 \cdot 4 - 2

Multiply the numbers:

- 4 \cdot 4 = - 16

= - 16 - 2

Apply radical rule:

- a = a - 1

- 2 = 2 - 1

= - 162 - 1

Apply imaginary number rule:

- 1 = i

= - 162 i

3 \times (- 2)

\frac{1}{2} \times 3

\frac{12}{7}

\frac{40}{3}

(3 x + 2 y)^{3}

What is simplify-4sqrt(-32) ?
The solution to simplify-4sqrt(-32) is -16sqrt(2)i