Solve 32sqrt{9.8/2*19.6}

$$32 \sqrt { \frac { 9.8 } { 2 \times 19.6 } }$$

Evaluate

$$16$$

Solution Steps

Multiply 2 and 19.6 to get 39.2.

$$32\sqrt{\frac{9.8}{39.2}}$$

Expand \frac{9.8}{39.2} by multiplying both numerator and the denominator by 10.

$$32\sqrt{\frac{98}{392}}$$

Reduce the fraction \frac{98}{392} to lowest terms by extracting and canceling out 98.

$$32\sqrt{\frac{1}{4}}$$

Rewrite the square root of the division \frac{1}{4} as the division of square roots \frac{\sqrt{1}}{\sqrt{4}}. Take the square root of both numerator and denominator.

$$32\times \frac{1}{2}$$

Multiply 32 and \frac{1}{2} to get \frac{32}{2}.

$$\frac{32}{2}$$

Divide 32 by 2 to get 16.

$$16$$

Factor

$$2^{4}$$