Solve =sqrt{24(24-16)(24-12)(24-20)}

$$= \sqrt { 24 ( 24 - 16 ) ( 24 - 12 ) ( 24 - 20 ) }$$

Evaluate

$$96$$

Solution Steps

Subtract 16 from 24 to get 8.

$$\sqrt{24\times 8\left(24-12\right)\left(24-20\right)}$$

Multiply 24 and 8 to get 192.

$$\sqrt{192\left(24-12\right)\left(24-20\right)}$$

Subtract 12 from 24 to get 12.

$$\sqrt{192\times 12\left(24-20\right)}$$

Multiply 192 and 12 to get 2304.

$$\sqrt{2304\left(24-20\right)}$$

Subtract 20 from 24 to get 4.

$$\sqrt{2304\times 4}$$

Multiply 2304 and 4 to get 9216.

$$\sqrt{9216}$$

Calculate the square root of 9216 and get 96.

$$96$$

Factor

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