Basic Math Examples

$\sqrt{9 \cdot \sqrt{36}}$

Step 1

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

$\sqrt{9 \sqrt{6^{2}}}$

Step 2

Multiply.

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Step 2.1

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

$\sqrt{9 \cdot 6}$

Step 2.2

Multiply $9$ by $6$ .

$\sqrt{54}$

Step 3

Rewrite $54$ as $3^{2} \cdot 6$ .

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Step 3.1

Factor $9$ out of $54$ .

$\sqrt{9 (6)}$

Step 3.2

Rewrite $9$ as $3^{2}$ .

$\sqrt{3^{2} \cdot 6}$

Step 4

Pull terms out from under the radical.

$3 \sqrt{6}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt{6}$

Decimal Form:

$7.34846922 \dots$