What is (sqrt(-3))(9sqrt(-8)) ?

The solution to (sqrt(-3))(9sqrt(-8)) is -18sqrt(6)

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simplify (sqrt(-3))(9sqrt(-8))

simplify

(- 3) (9 - 8)

- 186

Decimal Notation

- 44.09081 \dots

Solution steps

(- 3) (9 - 8)

Apply rule:

(a) = a

(- 3) = - 3

= - 3 \cdot 9 - 8

- 8 = 2 - 2

= - 3 \cdot 9 \cdot 2 - 2

Multiply the numbers:

9 \cdot 2 = 18

= - 3 \cdot 18 - 2

= 18 - 3 - 2

- 3 = 3 i

= 183 i - 2

- 2 = 2 i

= 183 i 2 i

Apply exponent rule:

aa = a^{2}

ii = i^{2}

= 183 i^{2} 2

= 1832 i^{2}

32 = 6

= 186 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 186 (- 1)

Multiply the numbers:

18 (- 1) = - 18

= - 186

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

2^{28}

(x - 7) (3 x + 2)

\frac{1 2 ^{7} \cdot 3 0 ^{5}}{2 5 ^{2} \cdot 8 ^{5} \cdot 2 7 ^{4}}

(4^{- 1})^{- 3}

What is (sqrt(-3))(9sqrt(-8)) ?
The solution to (sqrt(-3))(9sqrt(-8)) is -18sqrt(6)