What is simplify-4sqrt(-36) ?

The solution to simplify-4sqrt(-36) is -24i

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simplify-4sqrt(-36)

simplify

- 4 - 36

- 24 i

Solution steps

- 4 - 36

Prime factorization of

36 : 2^{2} \cdot 3^{2}

= - 4 - 2^{2} \cdot 3^{2}

Apply radical rule:

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

- 2^{2} \cdot 3^{2} = 2^{2} - 3^{2}

= - 4 2^{2} - 3^{2}

Apply radical rule:

a^{2} = a, a \geq 0

2^{2} = 2

= - 4 \cdot 2 - 3^{2}

3^{2} = 9

= - 4 \cdot 2 - 9

Multiply the numbers:

- 4 \cdot 2 = - 8

= - 8 - 9

Apply radical rule:

- a = a - 1

- 9 = 9 - 1

= - 89 - 1

Apply imaginary number rule:

- 1 = i

= - 89 i

9 = 3

= - 8 \cdot 3 i

Multiply the numbers:

- 8 \cdot 3 = - 24

= - 24 i

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