Solve sqrt{33(35-11)(33-25)}(33-30

$$\sqrt { 33 ( 35 - 11 ) ( 33 - 25 ) } ( 33 - 30$$

Evaluate

$$72\sqrt{11}\approx 238.796984906$$

Solution Steps

Subtract 11 from 35 to get 24.

$$\sqrt{33\times 24\left(33-25\right)}\left(33-30\right)$$

Multiply 33 and 24 to get 792.

$$\sqrt{792\left(33-25\right)}\left(33-30\right)$$

Subtract 25 from 33 to get 8.

$$\sqrt{792\times 8}\left(33-30\right)$$

Multiply 792 and 8 to get 6336.

$$\sqrt{6336}\left(33-30\right)$$

Factor 6336=24^{2}\times 11. Rewrite the square root of the product \sqrt{24^{2}\times 11} as the product of square roots \sqrt{24^{2}}\sqrt{11}. Take the square root of 24^{2}.

$$24\sqrt{11}\left(33-30\right)$$

Subtract 30 from 33 to get 3.

$$24\sqrt{11}\times 3$$

Multiply 24 and 3 to get 72.

$$72\sqrt{11}$$