Solve sqrt{2^2*3^2*5^2}=

$$\sqrt { 2 ^ { 2 } \times 3 ^ { 2 } \times 5 ^ { 2 } } =$$

Evaluate

$$30$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$\sqrt{4\times 3^{2}\times 5^{2}}$$

Calculate 3 to the power of 2 and get 9.

$$\sqrt{4\times 9\times 5^{2}}$$

Multiply 4 and 9 to get 36.

$$\sqrt{36\times 5^{2}}$$

Calculate 5 to the power of 2 and get 25.

$$\sqrt{36\times 25}$$

Multiply 36 and 25 to get 900.

$$\sqrt{900}$$

Calculate the square root of 900 and get 30.

$$30$$

Factor

$$2\times 3\times 5$$