Trigonometry Examples

$6 \sqrt{- \frac{25}{36}}$

Step 1

Rewrite $- \frac{25}{36}$ as ${(\frac{5 i}{6})}^{2}$ .

$6 \sqrt{{(\frac{5 i}{6})}^{2}}$

Step 2

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

$6 \frac{5 i}{6}$

Step 3

Cancel the common factor of $6$ .

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Step 3.1

Cancel the common factor.

$6 \frac{5 i}{6}$

Step 3.2

Rewrite the expression.

$5 i$