Finite Math Examples

$\sqrt{1 \frac{24}{25}}$

Step 1

Convert $1 \frac{24}{25}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

$\sqrt{1 + \frac{24}{25}}$

Step 1.2

Add $1$ and $\frac{24}{25}$ .

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Step 1.2.1

Write $1$ as a fraction with a common denominator.

$\sqrt{\frac{25}{25} + \frac{24}{25}}$

Step 1.2.2

Combine the numerators over the common denominator.

$\sqrt{\frac{25 + 24}{25}}$

Step 1.2.3

Add $25$ and $24$ .

$\sqrt{\frac{49}{25}}$

Step 2

Rewrite $\sqrt{\frac{49}{25}}$ as $\frac{\sqrt{49}}{\sqrt{25}}$ .

$\frac{\sqrt{49}}{\sqrt{25}}$

Step 3

Simplify the numerator.

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Step 3.1

Rewrite $49$ as $7^{2}$ .

$\frac{\sqrt{7^{2}}}{\sqrt{25}}$

Step 3.2

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

$\frac{7}{\sqrt{25}}$

Step 4

Simplify the denominator.

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Step 4.1

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

$\frac{7}{\sqrt{5^{2}}}$

Step 4.2

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

$\frac{7}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{5}$

Decimal Form:

$1.4$

Mixed Number Form:

$1 \frac{2}{5}$