Solve frac{51*sqrt{4*98}}{0.5}

$$\frac { 51 \times \sqrt { 4 \times 98 } } { 0.5 }$$

Evaluate

$$1428\sqrt{2}\approx 2019.496967069$$

Solution Steps

Multiply 4 and 98 to get 392.

$$\frac{51\sqrt{392}}{0.5}$$

Factor 392=14^{2}\times 2. Rewrite the square root of the product \sqrt{14^{2}\times 2} as the product of square roots \sqrt{14^{2}}\sqrt{2}. Take the square root of 14^{2}.

$$\frac{51\times 14\sqrt{2}}{0.5}$$

Multiply 51 and 14 to get 714.

$$\frac{714\sqrt{2}}{0.5}$$

Divide 714\sqrt{2} by 0.5 to get 1428\sqrt{2}.

$$1428\sqrt{2}$$