Solve 4sqrt{12}*3sqrt{20}

$$4 \sqrt{ 12 } \times 3 \sqrt{ 20 }$$

Evaluate

$$48\sqrt{15}\approx 185.903200618$$

Solution Steps

Multiply 3 and 4 to get 12.

$$12\sqrt{12}\sqrt{20}$$

Factor 12=2^{2}\times 3. Rewrite the square root of the product \sqrt{2^{2}\times 3} as the product of square roots \sqrt{2^{2}}\sqrt{3}. Take the square root of 2^{2}.

$$12\times 2\sqrt{3}\sqrt{20}$$

Multiply 12 and 2 to get 24.

$$24\sqrt{3}\sqrt{20}$$

Factor 20=2^{2}\times 5. Rewrite the square root of the product \sqrt{2^{2}\times 5} as the product of square roots \sqrt{2^{2}}\sqrt{5}. Take the square root of 2^{2}.

$$24\sqrt{3}\times 2\sqrt{5}$$

Multiply 24 and 2 to get 48.

$$48\sqrt{3}\sqrt{5}$$

To multiply \sqrt{3} and \sqrt{5}, multiply the numbers under the square root.

$$48\sqrt{15}$$