Solve frac{sqrt{0.01+sqrt{0.0064}}}{0.01*0.3}

$$\frac { \sqrt { 0.01 + \sqrt { 0.0064 } } } { 0.01 \times 0.3 }$$

Evaluate

$$100$$

Solution Steps

Calculate the square root of 0.0064 and get 0.08.

$$\frac{\sqrt{0.01+0.08}}{0.01\times 0.3}$$

Add 0.01 and 0.08 to get 0.09.

$$\frac{\sqrt{0.09}}{0.01\times 0.3}$$

Calculate the square root of 0.09 and get 0.3.

$$\frac{0.3}{0.01\times 0.3}$$

Multiply 0.01 and 0.3 to get 0.003.

$$\frac{0.3}{0.003}$$

Expand \frac{0.3}{0.003} by multiplying both numerator and the denominator by 1000.

$$\frac{300}{3}$$

Divide 300 by 3 to get 100.

$$100$$

Factor

$$2^{2}\times 5^{2}$$