Solve sqrt{2^2*7^4*3^6}

$$\sqrt { 2 ^ { 2 } \times 7 ^ { 4 } \times 3 ^ { 6 } }$$

Evaluate

$$2646$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$\sqrt{4\times 7^{4}\times 3^{6}}$$

Calculate 7 to the power of 4 and get 2401.

$$\sqrt{4\times 2401\times 3^{6}}$$

Multiply 4 and 2401 to get 9604.

$$\sqrt{9604\times 3^{6}}$$

Calculate 3 to the power of 6 and get 729.

$$\sqrt{9604\times 729}$$

Multiply 9604 and 729 to get 7001316.

$$\sqrt{7001316}$$

Calculate the square root of 7001316 and get 2646.

$$2646$$

Factor

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