What is simplify-9sqrt(-32) ?

The solution to simplify-9sqrt(-32) is -36sqrt(2)i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify-9sqrt(-32)

simplify

- 9 - 32

- 362 i

Solution steps

- 9 - 32

Prime factorization of

32 : 2^{5}

= - 9 - 2^{5}

Apply exponent rule:

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

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

= - 9 - 2^{4} \cdot 2

Apply radical rule:

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

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

= - 9 2^{4} - 2

2^{4} = 4

= - 9 \cdot 4 - 2

Multiply the numbers:

- 9 \cdot 4 = - 36

= - 36 - 2

Apply radical rule:

- a = a - 1

- 2 = 2 - 1

= - 362 - 1

Apply imaginary number rule:

- 1 = i

= - 362 i

0 + 5

7 + 3

8 - 1

8 - 7

(5 - 6.4)^{2}

What is simplify-9sqrt(-32) ?
The solution to simplify-9sqrt(-32) is -36sqrt(2)i