Solve 150.4*frac{sqrt{76}}{2.2}

$$150.4 \times \frac { \sqrt { 76 } } { 2.2 }$$

Evaluate

$$\frac{1504\sqrt{19}}{11}\approx 595.980364644$$

Solution Steps

Factor 76=2^{2}\times 19. Rewrite the square root of the product \sqrt{2^{2}\times 19} as the product of square roots \sqrt{2^{2}}\sqrt{19}. Take the square root of 2^{2}.

$$150.4\times \frac{2\sqrt{19}}{2.2}$$

Divide 2\sqrt{19} by 2.2 to get \frac{10}{11}\sqrt{19}.

$$150.4\times \frac{10}{11}\sqrt{19}$$

Multiply 150.4 and \frac{10}{11} to get \frac{1504}{11}.

$$\frac{1504}{11}\sqrt{19}$$