What is (-5sqrt(-2))(3sqrt(-6)) ?

The solution to (-5sqrt(-2))(3sqrt(-6)) is 30sqrt(3)

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simplify (-5sqrt(-2))(3sqrt(-6))

simplify

(- 5 - 2) (3 - 6)

303

Decimal Notation

51.96152 \dots

Solution steps

(- 5 - 2) (3 - 6)

Apply rule:

(- a) = - a

(- 5 - 2) = - 5 - 2

= - 5 - 2 \cdot 3 - 6

Multiply the numbers:

- 5 \cdot 3 = - 15

= - 15 - 2 - 6

- 2 = 2 i

= - 152 i - 6

- 6 = 6 i

= - 152 i 6 i

Apply exponent rule:

aa = a^{2}

ii = i^{2}

= - 152 i^{2} 6

= - 1526 i^{2}

6 = 23

= - 15223 i^{2}

Apply radical rule:

a a = a, a \geq 0

22 = 2

= - 15 \cdot 23 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= - 15 \cdot 23 (- 1)

Multiply the numbers:

15 \cdot 2 (- 1) = - 30

= - (- 30) 3

Remove parentheses:

- (- 30) 3 = 303

= 303

\frac{4}{3} π 8^{3}

\frac{15 m ^{2}}{3 ( m ^{5} ) ^{3}}

2 - 3 x - 2 x^{2}

3 a \cdot a

\frac{cot ( t )}{csc ( t ) - sin ( t )}

What is (-5sqrt(-2))(3sqrt(-6)) ?
The solution to (-5sqrt(-2))(3sqrt(-6)) is 30sqrt(3)