What is rationalize sqrt(-7/64) ?

The solution to rationalize sqrt(-7/64) is (sqrt(7)i)/8

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rationalize sqrt(-7/64)

rationalize

- \frac{7}{64}

\frac{7 i}{8}

Solution steps

- \frac{7}{64}

Apply radical rule:

- a = - 1 a

- \frac{7}{64} = - 1 \frac{7}{64}

= - 1 \frac{7}{64}

Apply imaginary number rule:

- 1 = i

= i \frac{7}{64}

Apply radical rule:

assuming

a \geq 0, b \geq 0

\frac{7}{64} = \frac{7}{64}

= i \frac{7}{64}

64 = 8

= i \frac{7}{8}

Multiply fractions:

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

= \frac{7 i}{8}

8 1^{2}

80 \div 40

4 x \times 7

\frac{200}{40}

\frac{200}{15}

What is rationalize sqrt(-7/64) ?
The solution to rationalize sqrt(-7/64) is (sqrt(7)i)/8