Finite Math Examples

${(\sqrt{\frac{225}{16}})}^{2}$

Step 1

Rewrite $\sqrt{\frac{225}{16}}$ as $\frac{\sqrt{225}}{\sqrt{16}}$ .

${(\frac{\sqrt{225}}{\sqrt{16}})}^{2}$

Step 2

Simplify the numerator.

Tap for more steps...

Step 2.1

Rewrite $225$ as $15^{2}$ .

${(\frac{\sqrt{15^{2}}}{\sqrt{16}})}^{2}$

Step 2.2

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

${(\frac{15}{\sqrt{16}})}^{2}$

Step 3

Simplify the denominator.

Tap for more steps...

Step 3.1

Rewrite $16$ as $4^{2}$ .

${(\frac{15}{\sqrt{4^{2}}})}^{2}$

Step 3.2

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

${(\frac{15}{4})}^{2}$

Step 4

Simplify the expression.

Tap for more steps...

Step 4.1

Apply the product rule to $\frac{15}{4}$ .

$\frac{15^{2}}{4^{2}}$

Step 4.2

Raise $15$ to the power of $2$ .

$\frac{225}{4^{2}}$

Step 4.3

Raise $4$ to the power of $2$ .

$\frac{225}{16}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{225}{16}$

Decimal Form:

$14.0625$

Mixed Number Form:

$14 \frac{1}{16}$