Solve sqrt{2^6*10^2*5^2}

$$\sqrt { 2 ^ { 6 } \times 10 ^ { 2 } \times 5 ^ { 2 } }$$

Evaluate

$$400$$

Solution Steps

Calculate 2 to the power of 6 and get 64.

$$\sqrt{64\times 10^{2}\times 5^{2}}$$

Calculate 10 to the power of 2 and get 100.

$$\sqrt{64\times 100\times 5^{2}}$$

Multiply 64 and 100 to get 6400.

$$\sqrt{6400\times 5^{2}}$$

Calculate 5 to the power of 2 and get 25.

$$\sqrt{6400\times 25}$$

Multiply 6400 and 25 to get 160000.

$$\sqrt{160000}$$

Calculate the square root of 160000 and get 400.

$$400$$

Factor

$$2^{4}\times 5^{2}$$