Solve -9.8sqrt{450}/4.9

$$- 9.8 \sqrt { 450 } / 4.9$$

Evaluate

$$-30\sqrt{2}\approx -42.426406871$$

Solution Steps

Factor 450=15^{2}\times 2. Rewrite the square root of the product \sqrt{15^{2}\times 2} as the product of square roots \sqrt{15^{2}}\sqrt{2}. Take the square root of 15^{2}.

$$\frac{-9.8\times 15\sqrt{2}}{4.9}$$

Multiply -9.8 and 15 to get -147.

$$\frac{-147\sqrt{2}}{4.9}$$

Divide -147\sqrt{2} by 4.9 to get -30\sqrt{2}.

$$-30\sqrt{2}$$