What is (sqrt(-72))(sqrt(-2)) ?

The solution to (sqrt(-72))(sqrt(-2)) is -12

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simplify (sqrt(-72))(sqrt(-2))

simplify

(- 72) (- 2)

- 12

Solution steps

(- 72) (- 2)

(- 72) (- 2) = - 72 - 2

= - 72 - 2

- 72 = 22 - 9

= 22 - 9 - 2

- 9 = 3 i

= 22 \cdot 3 i - 2

- 2 = 2 i

= 22 \cdot 3 i 2 i

Multiply the numbers:

2 \cdot 3 = 6

= 62 i 2 i

Apply radical rule:

a a = a, a \geq 0

22 = 2

= 6 \cdot 2 ii

Apply exponent rule:

aa = a^{2}

ii = i^{2}

= 6 \cdot 2 i^{2}

Multiply the numbers:

6 \cdot 2 = 12

= 12 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 12 (- 1)

Multiply the numbers:

12 (- 1) = - 12

= - 12

(\frac{1}{2} + 6 a) 14

\frac{3}{5} \div \frac{3}{4}

x^{2} + 15 x

x^{2} + 5 + 6

20 w^{4} - 405 x^{6}