Calculate: номер

Evaluate: $1024\sqrt{14}\approx 3831.457164057$

Factor $896=8^{2}\times 14$. Rewrite the square root of the product $\sqrt{8^{2}\times 14}$ as the product of square roots $\sqrt{8^{2}}\sqrt{14}$. Take the square root of $8^{2}$.

$$128\times 8\sqrt{14}$$

Multiply $128$ and $8$ to get $1024$.

$$1024\sqrt{14}$$