32sqrt{112}-এর সমাধান করুন

$$32 \sqrt { 112 }$$

Evaluate

$$128\sqrt{7}\approx 338.656167816$$

Solution Steps

Factor 112=4^{2}\times 7. Rewrite the square root of the product \sqrt{4^{2}\times 7} as the product of square roots \sqrt{4^{2}}\sqrt{7}. Take the square root of 4^{2}.

$$32\times 4\sqrt{7}$$

Multiply 32 and 4 to get 128.

$$128\sqrt{7}$$