Pre-Algebra Examples

$v = \sqrt{32 f d}$

Step 1

Rewrite $32 f d$ as ${(2^{2})}^{2} \cdot (2 f d)$ .

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Step 1.1

Factor $16$ out of $32$ .

$v = \sqrt{16 (2) f d}$

Step 1.2

Rewrite $16$ as $4^{2}$ .

$v = \sqrt{4^{2} \cdot 2 f d}$

Step 1.3

Rewrite $4$ as $2^{2}$ .

$v = \sqrt{{(2^{2})}^{2} \cdot 2 f d}$

Step 1.4

Add parentheses.

$v = \sqrt{{(2^{2})}^{2} \cdot 2 (f d)}$

Step 1.5

Add parentheses.

$v = \sqrt{{(2^{2})}^{2} \cdot (2 f d)}$

Step 2

Pull terms out from under the radical.

$v = 2^{2} \sqrt{2 f d}$

Step 3

Raise $2$ to the power of $2$ .

$v = 4 \sqrt{2 f d}$