Algebra Examples

$\sqrt{87 - \sqrt{36}}$

Step 1

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

$\sqrt{87 - \sqrt{6^{2}}}$

Step 2

Multiply.

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Step 2.1

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

$\sqrt{87 - 1 \cdot 6}$

Step 2.2

Multiply $- 1$ by $6$ .

$\sqrt{87 - 6}$

Step 3

Subtract $6$ from $87$ .

$\sqrt{81}$

Step 4

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

$\sqrt{9^{2}}$

Step 5

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

$9$