Evaluate square root of 8* square root of 3

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

Step 1

Combine using the product rule for radicals.

$\sqrt{8 \cdot 3}$

Step 2

Multiply $8$ by $3$ .

$\sqrt{24}$

Step 3

Rewrite $24$ as $2^{2} \cdot 6$ .

Factor $4$ out of $24$ .

$\sqrt{4 (6)}$

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

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

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

Step 4

Pull terms out from under the radical.

$2 \sqrt{6}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{6}$

Decimal Form:

$4.89897948 \dots$

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