What is (3sqrt(-5))(-4sqrt(-12)) ?

The solution to (3sqrt(-5))(-4sqrt(-12)) is 24sqrt(15)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (3sqrt(-5))(-4sqrt(-12))

simplify

(3 - 5) (- 4 - 12)

2415

Decimal

92.95160 \dots

Solution steps

(3 - 5) (- 4 - 12)

Apply rule:

a (- b) = - ab

(3 - 5) (- 4 - 12) = - 3 - 5 \cdot 4 - 12

= - 3 - 5 \cdot 4 - 12

- 12 = 2 - 3

= - 3 - 5 \cdot 4 \cdot 2 - 3

Multiply the numbers:

- 3 \cdot 4 \cdot 2 = - 24

= - 24 - 5 - 3

- 5 = 5 i

= - 245 i - 3

- 3 = 3 i

= - 245 i 3 i

Apply exponent rule:

aa = a^{2}

ii = i^{2}

= - 245 i^{2} 3

= - 2453 i^{2}

53 = 15

= - 2415 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= - 2415 (- 1)

Multiply the numbers:

24 (- 1) = - 24

= - (- 24) 15

Remove parentheses:

- (- 24) 15 = 2415

= 2415

(- 2) + (- 2)

\frac{1}{x} \cdot 2 x

\frac{k ( k + 1 ) + 2 ( k + 1 )}{2}

\frac{1}{( - 1 )}

2 m^{2} - 8 m

What is (3sqrt(-5))(-4sqrt(-12)) ?
The solution to (3sqrt(-5))(-4sqrt(-12)) is 24sqrt(15)