Solve sqrt[3]{1/27}+sqrt{113/36}

$$\sqrt[ 3 ] { \frac { 1 } { 27 } } + \sqrt { 1 \frac { 13 } { 36 } }$$

Evaluate

$$\frac{3}{2}=1.5$$

Solution Steps

Calculate \sqrt[3]{\frac{1}{27}} and get \frac{1}{3}.

$$\frac{1}{3}+\sqrt{\frac{1\times 36+13}{36}}$$

Multiply 1 and 36 to get 36.

$$\frac{1}{3}+\sqrt{\frac{36+13}{36}}$$

Add 36 and 13 to get 49.

$$\frac{1}{3}+\sqrt{\frac{49}{36}}$$

Rewrite the square root of the division \frac{49}{36} as the division of square roots \frac{\sqrt{49}}{\sqrt{36}}. Take the square root of both numerator and denominator.

$$\frac{1}{3}+\frac{7}{6}$$

Add \frac{1}{3} and \frac{7}{6} to get \frac{3}{2}.

$$\frac{3}{2}$$

Factor

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$