Basic Math Examples

$\sqrt[6]{64} + \sqrt{644}$

Step 1

Rewrite $64$ as $2^{6}$ .

$\sqrt[6]{2^{6}} + \sqrt{644}$

Step 2

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

$2 + \sqrt{644}$

Step 3

Rewrite $644$ as $2^{2} \cdot 161$ .

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Step 3.1

Factor $4$ out of $644$ .

$2 + \sqrt{4 (161)}$

Step 3.2

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

$2 + \sqrt{2^{2} \cdot 161}$

Step 4

Pull terms out from under the radical.

$2 + 2 \sqrt{161}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$2 + 2 \sqrt{161}$

Decimal Form:

$27.37715508 \dots$