Pre-Algebra Examples

$\sqrt{\frac{25}{4}} + \frac{1}{2}$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Rewrite $\sqrt{\frac{25}{4}}$ as $\frac{\sqrt{25}}{\sqrt{4}}$ .

$\frac{\sqrt{25}}{\sqrt{4}} + \frac{1}{2}$

Step 1.2

Simplify the numerator.

Tap for more steps...

Step 1.2.1

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

$\frac{\sqrt{5^{2}}}{\sqrt{4}} + \frac{1}{2}$

Step 1.2.2

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

$\frac{5}{\sqrt{4}} + \frac{1}{2}$

Step 1.3

Simplify the denominator.

Tap for more steps...

Step 1.3.1

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

$\frac{5}{\sqrt{2^{2}}} + \frac{1}{2}$

Step 1.3.2

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

$\frac{5}{2} + \frac{1}{2}$

Step 2

Combine fractions.

Tap for more steps...

Step 2.1

Combine the numerators over the common denominator.

$\frac{5 + 1}{2}$

Step 2.2

Simplify the expression.

Tap for more steps...

Step 2.2.1

Add $5$ and $1$ .

$\frac{6}{2}$

Step 2.2.2

Divide $6$ by $2$ .

$3$