Solve 13/sqrt{13^2+49+15^2}=

$$\frac{ 13 }{ \sqrt{ { 13 }^{ 2 } +49+ { 15 }^{ 2 } } } =$$

Evaluate

$$\frac{13\sqrt{443}}{443}\approx 0.61764864$$

Solution Steps

Calculate 13 to the power of 2 and get 169.

$$\frac{13}{\sqrt{169+49+15^{2}}}$$

Add 169 and 49 to get 218.

$$\frac{13}{\sqrt{218+15^{2}}}$$

Calculate 15 to the power of 2 and get 225.

$$\frac{13}{\sqrt{218+225}}$$

Add 218 and 225 to get 443.

$$\frac{13}{\sqrt{443}}$$

Rationalize the denominator of \frac{13}{\sqrt{443}} by multiplying numerator and denominator by \sqrt{443}.

$$\frac{13\sqrt{443}}{\left(\sqrt{443}\right)^{2}}$$

The square of \sqrt{443} is 443.

$$\frac{13\sqrt{443}}{443}$$