Algebra Examples

$4 \sqrt{- \frac{49}{64}}$

Step 1

Rewrite $- \frac{49}{64}$ as ${(\frac{7 i}{8})}^{2}$ .

$4 \sqrt{{(\frac{7 i}{8})}^{2}}$

Step 2

Pull terms out from under the radical, assuming positive real numbers.

$4 \frac{7 i}{8}$

Step 3

Cancel the common factor of $4$ .

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Step 3.1

Factor $4$ out of $8$ .

$4 \frac{7 i}{4 (2)}$

Step 3.2

Cancel the common factor.

$4 \frac{7 i}{4 \cdot 2}$

Step 3.3

Rewrite the expression.

$\frac{7 i}{2}$