Solve sqrt{4*10^11}

$$\sqrt { 4 \times 10 ^ { 11 } }$$

Evaluate

$$200000\sqrt{10}\approx 632455.532033676$$

Solution Steps

Calculate 10 to the power of 11 and get 100000000000.

$$\sqrt{4\times 100000000000}$$

Multiply 4 and 100000000000 to get 400000000000.

$$\sqrt{400000000000}$$

Factor 400000000000=200000^{2}\times 10. Rewrite the square root of the product \sqrt{200000^{2}\times 10} as the product of square roots \sqrt{200000^{2}}\sqrt{10}. Take the square root of 200000^{2}.

$$200000\sqrt{10}$$