Pre-Algebra Examples

$\frac{3 \sqrt{6 - 5}}{\sqrt{6 - 2}}$

Step 1

Simplify the numerator.

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Step 1.1

Subtract $5$ from $6$ .

$\frac{3 \sqrt{1}}{\sqrt{6 - 2}}$

Step 1.2

Any root of $1$ is $1$ .

$\frac{3 \cdot 1}{\sqrt{6 - 2}}$

Step 2

Simplify the denominator.

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Step 2.1

Subtract $2$ from $6$ .

$\frac{3 \cdot 1}{\sqrt{4}}$

Step 2.2

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

$\frac{3 \cdot 1}{\sqrt{2^{2}}}$

Step 2.3

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

$\frac{3 \cdot 1}{2}$

Step 3

Multiply $3$ by $1$ .

$\frac{3}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{2}$

Decimal Form:

$1.5$

Mixed Number Form:

$1 \frac{1}{2}$