Solve sqrt{2^8*3^2*5^2}

$$\sqrt { 2 ^ { 8 } \times 3 ^ { 2 } \times 5 ^ { 2 } }$$

Evaluate

$$240$$

Solution Steps

Calculate 2 to the power of 8 and get 256.

$$\sqrt{256\times 3^{2}\times 5^{2}}$$

Calculate 3 to the power of 2 and get 9.

$$\sqrt{256\times 9\times 5^{2}}$$

Multiply 256 and 9 to get 2304.

$$\sqrt{2304\times 5^{2}}$$

Calculate 5 to the power of 2 and get 25.

$$\sqrt{2304\times 25}$$

Multiply 2304 and 25 to get 57600.

$$\sqrt{57600}$$

Calculate the square root of 57600 and get 240.

$$240$$

Factor

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