Solve sqrt{9^2*2^}

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

Evaluate

$$9\sqrt{2}\approx 12.727922061$$

Solution Steps

Calculate 9 to the power of 2 and get 81.

$$\sqrt{81\times 2^{1}}$$

Calculate 2 to the power of 1 and get 2.

$$\sqrt{81\times 2}$$

Multiply 81 and 2 to get 162.

$$\sqrt{162}$$

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}.

$$9\sqrt{2}$$