Evaluate square root of 7* square root of 8

$\sqrt{7} \cdot \sqrt{8}$

Step 1

Combine using the product rule for radicals.

$\sqrt{7 \cdot 8}$

Step 2

Multiply $7$ by $8$ .

$\sqrt{56}$

Step 3

Rewrite $56$ as $2^{2} \cdot 14$ .

Factor $4$ out of $56$ .

$\sqrt{4 (14)}$

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

$\sqrt{2^{2} \cdot 14}$

$\sqrt{2^{2} \cdot 14}$

Step 4

Pull terms out from under the radical.

$2 \sqrt{14}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{14}$

Decimal Form:

$7.48331477 \dots$

Related Questions