Solve sqrt{(2*5^2)}

$$\sqrt { ( 2 \times 5 ^ { 2 } ) }$$

Evaluate

$$5\sqrt{2}\approx 7.071067812$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$\sqrt{2\times 25}$$

Multiply 2 and 25 to get 50.

$$\sqrt{50}$$

Factor 50=5^{2}\times 2. Rewrite the square root of the product \sqrt{5^{2}\times 2} as the product of square roots \sqrt{5^{2}}\sqrt{2}. Take the square root of 5^{2}.

$$5\sqrt{2}$$