Solve sqrt{2*7^2}

$$\sqrt { 2 \times 7 ^ { 2 } }$$

Evaluate

$$7\sqrt{2}\approx 9.899494937$$

Solution Steps

Calculate 7 to the power of 2 and get 49.

$$\sqrt{2\times 49}$$

Multiply 2 and 49 to get 98.

$$\sqrt{98}$$

Factor 98=7^{2}\times 2. Rewrite the square root of the product \sqrt{7^{2}\times 2} as the product of square roots \sqrt{7^{2}}\sqrt{2}. Take the square root of 7^{2}.

$$7\sqrt{2}$$