What is sqrt(-8)*sqrt(-18)*sqrt(-3) ?

The solution to sqrt(-8)*sqrt(-18)*sqrt(-3) is -12sqrt(3)i

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simplify sqrt(-8)sqrt(-18)sqrt(-3)

simplify

- 8 \cdot - 18 \cdot - 3

- 123 i

Solution steps

- 8 - 18 - 3

- 8 = 22 i

= 22 - 18 - 3 i

- 18 = 32 i

= 2 \cdot 322 - 3 ii

- 3 = 3 i

= 2 \cdot 3223 iii

Multiply the numbers:

2 \cdot 3 = 6

= 6223 iii

Apply radical rule:

a a = a

22 = 2

= 6 \cdot 23 iii

Apply exponent rule:

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

iii = i^{1 + 1 + 1}

= 6 \cdot 2 i^{1 + 1 + 1} 3

Add the numbers:

1 + 1 + 1 = 3

= 6 \cdot 2 i^{3} 3

Multiply the numbers:

6 \cdot 2 = 12

= 123 i^{3}

i^{3} = - i

= 123 (- i)

Remove parentheses:

(- a) = - a

= - 12 i 3

(81)^{- \frac{3}{4}} \cdot (216)^{\frac{2}{3}}

(1 + x)^{7}

(x^{2} - 4) (x + 2)

- \frac{12}{15}

What is sqrt(-8)*sqrt(-18)*sqrt(-3) ?
The solution to sqrt(-8)*sqrt(-18)*sqrt(-3) is -12sqrt(3)i