What is simplify-5sqrt(-12) ?

The solution to simplify-5sqrt(-12) is -10sqrt(3)i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify-5sqrt(-12)

simplify

- 5 - 12

- 103 i

Solution steps

- 5 - 12

Prime factorization of

12 : 2^{2} \cdot 3

= - 5 - 2^{2} \cdot 3

Apply radical rule:

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

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

= - 5 2^{2} - 3

Apply radical rule:

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

2^{2} = 2

= - 5 \cdot 2 - 3

Multiply the numbers:

- 5 \cdot 2 = - 10

= - 10 - 3

Apply radical rule:

- a = a - 1

- 3 = 3 - 1

= - 103 - 1

Apply imaginary number rule:

- 1 = i

= - 103 i

(2 - x) (- 2 - x)

+ 12 x^{4} - 3 x^{2}

398 - 572

x^{2} + 18 x + 45

7 50 x^{15} y^{21}

What is simplify-5sqrt(-12) ?
The solution to simplify-5sqrt(-12) is -10sqrt(3)i