Solve sqrt{98}*sqrt{162}

$$\sqrt { 98 } \times \sqrt { 162 }$$

Evaluate

$$126$$

Solution Steps

Factor 98=7^{2}\times 2. Rewrite the square root of the product \sqrt{7^{2}\times 2} as the product of square roots \sqrt{7^{2}}\sqrt{2}. Take the square root of 7^{2}.

$$7\sqrt{2}\sqrt{162}$$

Factor 162=9^{2}\times 2. Rewrite the square root of the product \sqrt{9^{2}\times 2} as the product of square roots \sqrt{9^{2}}\sqrt{2}. Take the square root of 9^{2}.

$$7\sqrt{2}\times 9\sqrt{2}$$

Multiply 7 and 9 to get 63.

$$63\sqrt{2}\sqrt{2}$$

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

$$63\times 2$$

Multiply 63 and 2 to get 126.

$$126$$

Factor

$$2\times 3^{2}\times 7$$