Solve 752sqrt{26div8}

$$752 \sqrt{ 26 \div 8 }$$

Evaluate

$$376\sqrt{13}\approx 1355.687279574$$

Solution Steps

Reduce the fraction \frac{26}{8} to lowest terms by extracting and canceling out 2.

$$752\sqrt{\frac{13}{4}}$$

Rewrite the square root of the division \sqrt{\frac{13}{4}} as the division of square roots \frac{\sqrt{13}}{\sqrt{4}}.

$$752\times \frac{\sqrt{13}}{\sqrt{4}}$$

Calculate the square root of 4 and get 2.

$$752\times \frac{\sqrt{13}}{2}$$

Cancel out 2, the greatest common factor in 752 and 2.

$$376\sqrt{13}$$