Solve sqrt{64^2*6}

$$\sqrt{ { 64 }^{ 2 } \times 6 }$$

Evaluate

$$64\sqrt{6}\approx 156.767343538$$

Solution Steps

Calculate 64 to the power of 2 and get 4096.

$$\sqrt{4096\times 6}$$

Multiply 4096 and 6 to get 24576.

$$\sqrt{24576}$$

Factor 24576=64^{2}\times 6. Rewrite the square root of the product \sqrt{64^{2}\times 6} as the product of square roots \sqrt{64^{2}}\sqrt{6}. Take the square root of 64^{2}.

$$64\sqrt{6}$$