Solve sqrt{3^2*7^2*2^2}

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

Evaluate

$$42$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

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

Calculate 7 to the power of 2 and get 49.

$$\sqrt{9\times 49\times 2^{2}}$$

Multiply 9 and 49 to get 441.

$$\sqrt{441\times 2^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$\sqrt{441\times 4}$$

Multiply 441 and 4 to get 1764.

$$\sqrt{1764}$$

Calculate the square root of 1764 and get 42.

$$42$$

Factor

$$2\times 3\times 7$$