Solve 2sqrt{50}*3sqrt{32}=

$$2 \sqrt { 50 } \times 3 \sqrt { 32 } =$$

Evaluate

$$240$$

Solution Steps

Multiply 2 and 3 to get 6.

$$6\sqrt{50}\sqrt{32}$$

Factor 50=5^{2}\times 2. Rewrite the square root of the product \sqrt{5^{2}\times 2} as the product of square roots \sqrt{5^{2}}\sqrt{2}. Take the square root of 5^{2}.

$$6\times 5\sqrt{2}\sqrt{32}$$

Multiply 6 and 5 to get 30.

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

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}.

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

Multiply 30 and 4 to get 120.

$$120\sqrt{2}\sqrt{2}$$

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

$$120\times 2$$

Multiply 120 and 2 to get 240.

$$240$$

Factor

$$2^{4}\times 3\times 5$$