Solve sqrt{13+18*17/3}

$$\sqrt { \frac { 13 + 18 \times 17 } { 3 } }$$

Evaluate

$$\frac{\sqrt{957}}{3}\approx 10.311805532$$

Solution Steps

Multiply 18 and 17 to get 306.

$$\sqrt{\frac{13+306}{3}}$$

Add 13 and 306 to get 319.

$$\sqrt{\frac{319}{3}}$$

Rewrite the square root of the division \sqrt{\frac{319}{3}} as the division of square roots \frac{\sqrt{319}}{\sqrt{3}}.

$$\frac{\sqrt{319}}{\sqrt{3}}$$

Rationalize the denominator of \frac{\sqrt{319}}{\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$\frac{\sqrt{319}\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

The square of \sqrt{3} is 3.

$$\frac{\sqrt{319}\sqrt{3}}{3}$$

To multiply \sqrt{319} and \sqrt{3}, multiply the numbers under the square root.

$$\frac{\sqrt{957}}{3}$$