What is (4sqrt(-72))(-4sqrt(-64)) ?

The solution to (4sqrt(-72))(-4sqrt(-64)) is 768sqrt(2)

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simplify (4sqrt(-72))(-4sqrt(-64))

simplify

(4 - 72) (- 4 - 64)

7682

Decimal Notation

1086.11601 \dots

Solution steps

(4 - 72) (- 4 - 64)

Apply rule:

a (- b) = - ab

(4 - 72) (- 4 - 64) = - 4 - 72 \cdot 4 - 64

= - 4 - 72 \cdot 4 - 64

- 72 = 22 - 9

= - 4 \cdot 22 - 9 \cdot 4 - 64

- 64 = 2 - 32

= - 4 \cdot 22 - 9 \cdot 42 - 32

Apply radical rule:

a a = a, a \geq 0

22 = 2

= - 4 \cdot 2 \cdot 2 - 9 \cdot 4 - 32

- 32 = 4 - 2

= - 4 \cdot 2 \cdot 2 - 9 \cdot 4 \cdot 4 - 2

Multiply the numbers:

- 4 \cdot 2 \cdot 2 \cdot 4 \cdot 4 = - 256

= - 256 - 9 - 2

- 9 = 3 i

= - 256 \cdot 3 i - 2

- 2 = 2 i

= - 256 \cdot 3 i 2 i

Multiply the numbers:

- 256 \cdot 3 = - 768

= - 768 i 2 i

Apply exponent rule:

aa = a^{2}

ii = i^{2}

= - 768 i^{2} 2

= - 7682 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= - 7682 (- 1)

Multiply the numbers:

768 (- 1) = - 768

= - (- 768) 2

Remove parentheses:

- (- 768) 2 = 7682

= 7682

lo g_{15} (87.5)

\frac{3 p - 4 q}{4 q - 3 p}

\frac{5 x ^{5} y ^{6}}{x ^{2} y ^{3}}

(5 x^{2} - 1) (- 7 x^{2} + x + 3)

(- \frac{3}{2})^{7} \cdot (- \frac{2}{3})^{4}

What is (4sqrt(-72))(-4sqrt(-64)) ?
The solution to (4sqrt(-72))(-4sqrt(-64)) is 768sqrt(2)