Basic Math Examples

$\sqrt{10} \cdot \sqrt{48}$

Step 1

Combine using the product rule for radicals.

$\sqrt{10 \cdot 48}$

Step 2

Multiply

$10$ by

$48$ .

$\sqrt{480}$

Step 3

Rewrite

$480$ as

$4^{2} \cdot 30$ .

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Step 3.1

Factor

$16$ out of

$480$ .

$\sqrt{16 (30)}$

Step 3.2

Rewrite

$16$ as

$4^{2}$ .

$\sqrt{4^{2} \cdot 30}$

$\sqrt{4^{2} \cdot 30}$

Step 4

Pull terms out from under the radical.

$4 \sqrt{30}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$4 \sqrt{30}$

Decimal Form:

$21.90890230 \dots$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$