Solve sqrt{10*2^6}

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

Evaluate

$$8\sqrt{10}\approx 25.298221281$$

Solution Steps

Calculate 2 to the power of 6 and get 64.

$$\sqrt{10\times 64}$$

Multiply 10 and 64 to get 640.

$$\sqrt{640}$$

Factor 640=8^{2}\times 10. Rewrite the square root of the product \sqrt{8^{2}\times 10} as the product of square roots \sqrt{8^{2}}\sqrt{10}. Take the square root of 8^{2}.

$$8\sqrt{10}$$