Solve 4sqrt{44}*5sqrt{48}

$$4 \sqrt { 44 } * 5 \sqrt { 48 }$$

Evaluate

$$160\sqrt{33}\approx 919.130023446$$

Solution Steps

Multiply 4 and 5 to get 20.

$$20\sqrt{44}\sqrt{48}$$

Factor 44=2^{2}\times 11. Rewrite the square root of the product \sqrt{2^{2}\times 11} as the product of square roots \sqrt{2^{2}}\sqrt{11}. Take the square root of 2^{2}.

$$20\times 2\sqrt{11}\sqrt{48}$$

Multiply 20 and 2 to get 40.

$$40\sqrt{11}\sqrt{48}$$

Factor 48=4^{2}\times 3. Rewrite the square root of the product \sqrt{4^{2}\times 3} as the product of square roots \sqrt{4^{2}}\sqrt{3}. Take the square root of 4^{2}.

$$40\sqrt{11}\times 4\sqrt{3}$$

Multiply 40 and 4 to get 160.

$$160\sqrt{11}\sqrt{3}$$

To multiply \sqrt{11} and \sqrt{3}, multiply the numbers under the square root.

$$160\sqrt{33}$$