What is (9sqrt(-64))(-sqrt(-5)) ?

The solution to (9sqrt(-64))(-sqrt(-5)) is 72sqrt(5)

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simplify (9sqrt(-64))(-sqrt(-5))

simplify

(9 - 64) (- - 5)

725

Decimal Notation

160.99689 \dots

Solution steps

(9 - 64) (- - 5)

Apply rule:

a (- b) = - ab

(9 - 64) (- - 5) = - 9 - 64 - 5

= - 9 - 64 - 5

- 64 = 8 i

= - 9 \cdot 8 i - 5

- 5 = 5 i

= - 9 \cdot 8 i 5 i

Multiply the numbers:

- 9 \cdot 8 = - 72

= - 72 i 5 i

Apply exponent rule:

aa = a^{2}

ii = i^{2}

= - 72 i^{2} 5

= - 725 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= - 725 (- 1)

Multiply the numbers:

72 (- 1) = - 72

= - (- 72) 5

Remove parentheses:

- (- 72) 5 = 725

= 725

\frac{40}{15}

\frac{1}{4} + \frac{1}{3} + \frac{1}{6}

18 x^{2} - 13 x - 5

\frac{1}{2} + \frac{2}{7}

\frac{x ^{2} - 14 x + 49}{x - 7}

What is (9sqrt(-64))(-sqrt(-5)) ?
The solution to (9sqrt(-64))(-sqrt(-5)) is 72sqrt(5)