Solve sqrt{225(225-195)(225-180)(225-75)}

$$\sqrt { 225 ( 225 - 195 ) ( 225 - 180 ) ( 225 - 75 ) }$$

Evaluate

$$6750$$

Solution Steps

Subtract 195 from 225 to get 30.

$$\sqrt{225\times 30\left(225-180\right)\left(225-75\right)}$$

Multiply 225 and 30 to get 6750.

$$\sqrt{6750\left(225-180\right)\left(225-75\right)}$$

Subtract 180 from 225 to get 45.

$$\sqrt{6750\times 45\left(225-75\right)}$$

Multiply 6750 and 45 to get 303750.

$$\sqrt{303750\left(225-75\right)}$$

Subtract 75 from 225 to get 150.

$$\sqrt{303750\times 150}$$

Multiply 303750 and 150 to get 45562500.

$$\sqrt{45562500}$$

Calculate the square root of 45562500 and get 6750.

$$6750$$

Factor

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