What is 8sqrt(-720) ?

The solution to 8sqrt(-720) is 96sqrt(5)i

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simplify 8sqrt(-720)

simplify

8 - 720

965 i

Solution steps

8 - 720

Prime factorization of

720 : 2^{4} \cdot 3^{2} \cdot 5

= 8 - 2^{4} \cdot 3^{2} \cdot 5

- 2^{4} \cdot 3^{2} \cdot 5 = 2^{4} 3^{2} - 5

= 8 2^{4} 3^{2} - 5

2^{4} = 4

= 8 \cdot 4 3^{2} - 5

Apply radical rule:

a^{2} = a, a \geq 0

3^{2} = 3

= 8 \cdot 4 \cdot 3 - 5

Multiply the numbers:

4 \cdot 3 = 12

= 8 \cdot 12 - 5

Multiply the numbers:

8 \cdot 12 = 96

= 96 - 5

Apply radical rule:

- a = a - 1

- 5 = 5 - 1

= 965 - 1

Apply imaginary number rule:

- 1 = i

= 965 i

2^{- 4} \cdot 2^{4}

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

\frac{1}{y} - \frac{1}{x}

\frac{10}{9} \div \frac{1}{6}

18 y^{5}