Solve sqrt{72}*sqrt{50}

$$\sqrt{ 72 } \times \sqrt{ 50 }$$

Evaluate

$$60$$

Solution Steps

Factor 72=6^{2}\times 2. Rewrite the square root of the product \sqrt{6^{2}\times 2} as the product of square roots \sqrt{6^{2}}\sqrt{2}. Take the square root of 6^{2}.

$$6\sqrt{2}\sqrt{50}$$

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}.

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

Multiply 6 and 5 to get 30.

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

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

$$30\times 2$$

Multiply 30 and 2 to get 60.

$$60$$

Factor

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