Solve sqrt{4.5div6}*157

$$\sqrt{ 4.5 \div 6 } \times 157$$

Evaluate

$$\frac{157\sqrt{3}}{2}\approx 135.965988394$$

Solution Steps

Expand \frac{4.5}{6} by multiplying both numerator and the denominator by 10.

$$157\sqrt{\frac{45}{60}}$$

Reduce the fraction \frac{45}{60} to lowest terms by extracting and canceling out 15.

$$157\sqrt{\frac{3}{4}}$$

Rewrite the square root of the division \sqrt{\frac{3}{4}} as the division of square roots \frac{\sqrt{3}}{\sqrt{4}}.

$$157\times \frac{\sqrt{3}}{\sqrt{4}}$$

Calculate the square root of 4 and get 2.

$$157\times \frac{\sqrt{3}}{2}$$

Express 157\times \frac{\sqrt{3}}{2} as a single fraction.

$$\frac{157\sqrt{3}}{2}$$