Evaluate square root of 30* square root of 3

$\sqrt{30} \cdot \sqrt{3}$

Step 1

Combine using the product rule for radicals.

$\sqrt{30 \cdot 3}$

Step 2

Multiply $30$ by $3$ .

$\sqrt{90}$

Step 3

Rewrite $90$ as $3^{2} \cdot 10$ .

Factor $9$ out of $90$ .

$\sqrt{9 (10)}$

Rewrite $9$ as $3^{2}$ .

$\sqrt{3^{2} \cdot 10}$

$\sqrt{3^{2} \cdot 10}$

Step 4

Pull terms out from under the radical.

$3 \sqrt{10}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt{10}$

Decimal Form:

$9.48683298 \dots$

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