Solve sqrt{(144+256)*16/0.36}

$$\sqrt{ \frac{ (144+256) \times 16 }{ 0.36 } }$$

Evaluate

$$\frac{400}{3}\approx 133.333333333$$

Solution Steps

Add 144 and 256 to get 400.

$$\sqrt{\frac{400\times 16}{0.36}}$$

Multiply 400 and 16 to get 6400.

$$\sqrt{\frac{6400}{0.36}}$$

Expand \frac{6400}{0.36} by multiplying both numerator and the denominator by 100.

$$\sqrt{\frac{640000}{36}}$$

Reduce the fraction \frac{640000}{36} to lowest terms by extracting and canceling out 4.

$$\sqrt{\frac{160000}{9}}$$

Rewrite the square root of the division \frac{160000}{9} as the division of square roots \frac{\sqrt{160000}}{\sqrt{9}}. Take the square root of both numerator and denominator.

$$\frac{400}{3}$$

Factor

$$\frac{2 ^ {4} \cdot 5 ^ {2}}{3} = 133\frac{1}{3} = 133.33333333333334$$