Solve 3sqrt{50}(10/3)

$$3 \sqrt{ 50 } ( \frac{ 10 }{ 3 } )$$

Evaluate

$$50\sqrt{2}\approx 70.710678119$$

Solution Steps

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}.

$$3\times 5\sqrt{2}\times \frac{10}{3}$$

Multiply 3 and 5 to get 15.

$$15\sqrt{2}\times \frac{10}{3}$$

Express 15\times \frac{10}{3} as a single fraction.

$$\frac{15\times 10}{3}\sqrt{2}$$

Multiply 15 and 10 to get 150.

$$\frac{150}{3}\sqrt{2}$$

Divide 150 by 3 to get 50.

$$50\sqrt{2}$$