Solve sqrt{2,89,400}

$$\sqrt { 2,89,400 }$$

Evaluate

$$20\sqrt{178}\approx 266.833281283$$

Solution Steps

Multiply 2 and 89 to get 178.

$$\sqrt{178\times 400}$$

Multiply 178 and 400 to get 71200.

$$\sqrt{71200}$$

Factor 71200=20^{2}\times 178. Rewrite the square root of the product \sqrt{20^{2}\times 178} as the product of square roots \sqrt{20^{2}}\sqrt{178}. Take the square root of 20^{2}.

$$20\sqrt{178}$$