Finite Math Examples

$0.3 \sqrt[4]{64}$

Step 1

Rewrite $64$ as $2^{4} \cdot 4$ .

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Step 1.1

Factor $16$ out of $64$ .

$0.3 \sqrt[4]{16 (4)}$

Step 1.2

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

$0.3 \sqrt[4]{2^{4} \cdot 4}$

Step 2

Pull terms out from under the radical.

$0.3 (2 \sqrt[4]{4})$

Step 3

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

$0.3 (2 \sqrt[4]{2^{2}})$

Step 4

Rewrite $\sqrt[4]{2^{2}}$ as $\sqrt{\sqrt{2^{2}}}$ .

$0.3 (2 \sqrt{\sqrt{2^{2}}})$

Step 5

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

$0.3 (2 \sqrt{2})$

Step 6

Multiply $0.3 (2 \sqrt{2})$ .

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Step 6.1

Multiply $2$ by $0.3$ .

$0.6 \sqrt{2}$

Step 6.2

Multiply $0.6$ by $\sqrt{2}$ .

$0.84852813$