What is sqrt(1/4)sqrt(-64) ?

The solution to sqrt(1/4)sqrt(-64) is 4i

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simplify sqrt(1/4)sqrt(-64)

simplify

\frac{1}{4} - 64

4 i

Solution steps

\frac{1}{4} - 64

\frac{1}{4} = \frac{1}{2}

= \frac{1}{2} - 64

Apply radical rule:

- a = a - 1

- 64 = 64 - 1

= \frac{1}{2} 64 - 1

Apply imaginary number rule:

- 1 = i

= \frac{1}{2} 64 i

64 = 8

= \frac{1}{2} \cdot 8 i

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 8}{2} i

Multiply the numbers:

1 \cdot 8 = 8

= \frac{8}{2} i

Divide the numbers:

\frac{8}{2} = 4

= 4 i

\frac{20}{56}

- - 147

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