Basic Math Examples

$\sqrt{x^{3} x^{5}}$

Step 1

Multiply $x^{3}$ by $x^{5}$ by adding the exponents.

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Step 1.1

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\sqrt{x^{3 + 5}}$

Step 1.2

Add $3$ and $5$ .

$\sqrt{x^{8}}$

Step 2

Rewrite $x^{8}$ as ${(x^{4})}^{2}$ .

$\sqrt{{(x^{4})}^{2}}$

Step 3

Pull terms out from under the radical, assuming positive real numbers.

$x^{4}$