Solve sqrt{340*9.8/2}

$$\sqrt{ \frac{ 340 \times 9.8 }{ 2 } }$$

Evaluate

$$7\sqrt{34}\approx 40.816663264$$

Solution Steps

Multiply 340 and 9.8 to get 3332.

$$\sqrt{\frac{3332}{2}}$$

Divide 3332 by 2 to get 1666.

$$\sqrt{1666}$$

Factor 1666=7^{2}\times 34. Rewrite the square root of the product \sqrt{7^{2}\times 34} as the product of square roots \sqrt{7^{2}}\sqrt{34}. Take the square root of 7^{2}.

$$7\sqrt{34}$$