Solve 2sqrt{30}*3sqrt{32}

$$2 \sqrt { 30 } \times 3 \sqrt { 32 }$$

Evaluate

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

Solution Steps

Multiply 2 and 3 to get 6.

$$6\sqrt{30}\sqrt{32}$$

Factor 32=4^{2}\times 2. Rewrite the square root of the product \sqrt{4^{2}\times 2} as the product of square roots \sqrt{4^{2}}\sqrt{2}. Take the square root of 4^{2}.

$$6\sqrt{30}\times 4\sqrt{2}$$

Multiply 6 and 4 to get 24.

$$24\sqrt{30}\sqrt{2}$$

Factor 30=2\times 15. Rewrite the square root of the product \sqrt{2\times 15} as the product of square roots \sqrt{2}\sqrt{15}.

$$24\sqrt{2}\sqrt{15}\sqrt{2}$$

Multiply \sqrt{2} and \sqrt{2} to get 2.

$$24\times 2\sqrt{15}$$

Multiply 24 and 2 to get 48.

$$48\sqrt{15}$$