Solve 4sqrt{8}*6sqrt{5}

$$4 \sqrt{ 8 } \times 6 \sqrt{ 5 }$$

Evaluate

$$48\sqrt{10}\approx 151.789327688$$

Solution Steps

Multiply 4 and 6 to get 24.

$$24\sqrt{8}\sqrt{5}$$

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

$$24\times 2\sqrt{2}\sqrt{5}$$

Multiply 24 and 2 to get 48.

$$48\sqrt{2}\sqrt{5}$$

To multiply \sqrt{2} and \sqrt{5}, multiply the numbers under the square root.

$$48\sqrt{10}$$