Solve sqrt{3.2*10^2}

$$\sqrt { 3.2 \times 10 ^ { 2 } }$$

Evaluate

$$8\sqrt{5}\approx 17.88854382$$

Solution Steps

Calculate 10 to the power of 2 and get 100.

$$\sqrt{3.2\times 100}$$

Multiply 3.2 and 100 to get 320.

$$\sqrt{320}$$

Factor 320=8^{2}\times 5. Rewrite the square root of the product \sqrt{8^{2}\times 5} as the product of square roots \sqrt{8^{2}}\sqrt{5}. Take the square root of 8^{2}.

$$8\sqrt{5}$$