Basic Math Examples

$8 \sqrt{9 + 3 \sqrt{81}}$

Step 1

Rewrite $81$ as $9^{2}$ .

$8 \sqrt{9 + 3 \sqrt{9^{2}}}$

Step 2

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

$8 \sqrt{9 + 3 \cdot 9}$

Step 3

Multiply $3$ by $9$ .

$8 \sqrt{9 + 27}$

Step 4

Add $9$ and $27$ .

$8 \sqrt{36}$

Step 5

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

$8 \sqrt{6^{2}}$

Step 6

Multiply.

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Step 6.1

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

$8 \cdot 6$

Step 6.2

Multiply $8$ by $6$ .

$48$