Algebra Examples

$\frac{\sqrt{9}}{\sqrt{25}}$

Step 1

Simplify the numerator.

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Step 1.1

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

$\frac{\sqrt{3^{2}}}{\sqrt{25}}$

Step 1.2

Pull terms out from under the radical.

$\frac{| 3 |}{\sqrt{25}}$

Step 1.3

The absolute value is the distance between a number and zero. The distance between $0$ and $3$ is $3$ .

$\frac{3}{\sqrt{25}}$

Step 2

Simplify the denominator.

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Step 2.1

Rewrite $25$ as $5^{2}$ .

$\frac{3}{\sqrt{5^{2}}}$

Step 2.2

Pull terms out from under the radical.

$\frac{3}{| 5 |}$

Step 2.3

The absolute value is the distance between a number and zero. The distance between $0$ and $5$ is $5$ .

$\frac{3}{5}$