Solve sqrt{6.67*10^10}

$$\sqrt { 6.67 \times 10 ^ { 10 } }$$

Evaluate

$$10000\sqrt{667}\approx 258263.431402899$$

Solution Steps

Calculate 10 to the power of 10 and get 10000000000.

$$\sqrt{6.67\times 10000000000}$$

Multiply 6.67 and 10000000000 to get 66700000000.

$$\sqrt{66700000000}$$

Factor 66700000000=10000^{2}\times 667. Rewrite the square root of the product \sqrt{10000^{2}\times 667} as the product of square roots \sqrt{10000^{2}}\sqrt{667}. Take the square root of 10000^{2}.

$$10000\sqrt{667}$$