Solve =1/2sqrt{frac{1{144}}}

$$= \frac { 1 } { 2 \sqrt { \frac { 1 } { 144 } } }$$

Evaluate

$$\frac{\sqrt{144}}{2}=6$$

Solution Steps

Rewrite the square root of the division \frac{1}{144} as the division of square roots \frac{\sqrt{1}}{\sqrt{144}}. Take the square root of both numerator and denominator.

$$\frac{1}{2\times \frac{1}{12}}$$

Multiply 2 and \frac{1}{12} to get \frac{2}{12}.

$$\frac{1}{\frac{2}{12}}$$

Reduce the fraction \frac{2}{12} to lowest terms by extracting and canceling out 2.

$$\frac{1}{\frac{1}{6}}$$

Divide 1 by \frac{1}{6} by multiplying 1 by the reciprocal of \frac{1}{6}.

$$1\times 6$$

Multiply 1 and 6 to get 6.

$$6$$