Algebra Examples

$- \frac{5}{6} \sqrt{72 p}$

Step 1

Rewrite $72 p$ as $6^{2} \cdot (2 p)$ .

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Step 1.1

Factor $36$ out of $72$ .

$- \frac{5}{6} \cdot \sqrt{36 (2) p}$

Step 1.2

Rewrite $36$ as $6^{2}$ .

$- \frac{5}{6} \cdot \sqrt{6^{2} \cdot 2 p}$

Step 1.3

Add parentheses.

$- \frac{5}{6} \cdot \sqrt{6^{2} \cdot (2 p)}$

Step 2

Pull terms out from under the radical.

$- \frac{5}{6} \cdot (6 \sqrt{2 p})$

Step 3

Cancel the common factor of $6$ .

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Step 3.1

Move the leading negative in $- \frac{5}{6}$ into the numerator.

$\frac{- 5}{6} \cdot (6 \sqrt{2 p})$

Step 3.2

Factor $6$ out of $6 \sqrt{2 p}$ .

$\frac{- 5}{6} \cdot (6 (\sqrt{2 p}))$

Step 3.3

Cancel the common factor.

$\frac{- 5}{6} \cdot (6 \sqrt{2 p})$

Step 3.4

Rewrite the expression.

$- 5 \cdot \sqrt{2 p}$

$- 5 \sqrt{2 p}$