Solve sqrt{360^2*0.2/4^00}

$$\sqrt { \frac { 360 ^ { 2 } \times 0.2 } { 4 ^ { 00 } } }$$

Evaluate

$$72\sqrt{5}\approx 160.99689438$$

Solution Steps

Calculate 360 to the power of 2 and get 129600.

$$\sqrt{\frac{129600\times 0.2}{4^{0\times 0}}}$$

Multiply 129600 and 0.2 to get 25920.

$$\sqrt{\frac{25920}{4^{0\times 0}}}$$

Multiply 0 and 0 to get 0.

$$\sqrt{\frac{25920}{4^{0}}}$$

Calculate 4 to the power of 0 and get 1.

$$\sqrt{\frac{25920}{1}}$$

Anything divided by one gives itself.

$$\sqrt{25920}$$

Factor 25920=72^{2}\times 5. Rewrite the square root of the product \sqrt{72^{2}\times 5} as the product of square roots \sqrt{72^{2}}\sqrt{5}. Take the square root of 72^{2}.

$$72\sqrt{5}$$