Basic Math Examples

b \sqrt[4]{32 b}

$b \sqrt[4]{32 b}$

Step 1

Rewrite

32 b

$32 b$ as

2^{4} \cdot (2 b)

$2^{4} \cdot (2 b)$ .

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Step 1.1

Factor

16

$16$ out of

32

$32$ .

b \sqrt[4]{16 (2) b}

$b \sqrt[4]{16 (2) b}$

Step 1.2

Rewrite

16

$16$ as

2^{4}

$2^{4}$ .

b \sqrt[4]{2^{4} \cdot 2 b}

$b \sqrt[4]{2^{4} \cdot 2 b}$

Step 1.3

Add parentheses.

b \sqrt[4]{2^{4} \cdot (2 b)}

$b \sqrt[4]{2^{4} \cdot (2 b)}$

b \sqrt[4]{2^{4} \cdot (2 b)}

$b \sqrt[4]{2^{4} \cdot (2 b)}$

Step 2

Pull terms out from under the radical.

b (2 \sqrt[4]{2 b})

$b (2 \sqrt[4]{2 b})$

Step 3

Rewrite using the commutative property of multiplication.

2 b \sqrt[4]{2 b}

$2 b \sqrt[4]{2 b}$