Solve sqrt{63}*sqrt{847}

$$\sqrt{ 63 } \times \sqrt{ 847 }$$

Evaluate

$$231$$

Solution Steps

Factor 63=3^{2}\times 7. Rewrite the square root of the product \sqrt{3^{2}\times 7} as the product of square roots \sqrt{3^{2}}\sqrt{7}. Take the square root of 3^{2}.

$$3\sqrt{7}\sqrt{847}$$

Factor 847=11^{2}\times 7. Rewrite the square root of the product \sqrt{11^{2}\times 7} as the product of square roots \sqrt{11^{2}}\sqrt{7}. Take the square root of 11^{2}.

$$3\sqrt{7}\times 11\sqrt{7}$$

Multiply 3 and 11 to get 33.

$$33\sqrt{7}\sqrt{7}$$

Multiply \sqrt{7} and \sqrt{7} to get 7.

$$33\times 7$$

Multiply 33 and 7 to get 231.

$$231$$

Factor

$$3\times 7\times 11$$