Evaluate square root of 72-4 square root of 2

$\sqrt{72} - 4 \sqrt{2}$

Step 1

Simplify each term.

Rewrite $72$ as $6^{2} \cdot 2$ .

Factor $36$ out of $72$ .

$\sqrt{36 (2)} - 4 \sqrt{2}$

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

$\sqrt{6^{2} \cdot 2} - 4 \sqrt{2}$

$\sqrt{6^{2} \cdot 2} - 4 \sqrt{2}$

Pull terms out from under the radical.

$6 \sqrt{2} - 4 \sqrt{2}$

$6 \sqrt{2} - 4 \sqrt{2}$

Step 2

Subtract $4 \sqrt{2}$ from $6 \sqrt{2}$ .

$2 \sqrt{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{2}$

Decimal Form:

$2.82842712 \dots$

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