Solve 0.0125divsqrt{0.0125div9.8}

$$0.0125 \div \sqrt{ 0.0125 \div 9.8 }$$

Evaluate

$$\frac{\sqrt{784}}{80}\approx 0.35$$

Solution Steps

Expand \frac{0.0125}{9.8} by multiplying both numerator and the denominator by 10000.

$$\frac{0.0125}{\sqrt{\frac{125}{98000}}}$$

Reduce the fraction \frac{125}{98000} to lowest terms by extracting and canceling out 125.

$$\frac{0.0125}{\sqrt{\frac{1}{784}}}$$

Rewrite the square root of the division \frac{1}{784} as the division of square roots \frac{\sqrt{1}}{\sqrt{784}}. Take the square root of both numerator and denominator.

$$\frac{0.0125}{\frac{1}{28}}$$

Divide 0.0125 by \frac{1}{28} by multiplying 0.0125 by the reciprocal of \frac{1}{28}.

$$0.0125\times 28$$

Multiply 0.0125 and 28 to get 0.35.

$$0.35$$