Solve sqrt{56(56-78)(6-9)(56-35}

$$\sqrt { 56 ( 56 - 78 ) ( 6 - 9 ) ( 56 - 35 }$$

Evaluate

$$84\sqrt{11}\approx 278.59648239$$

Solution Steps

Subtract 78 from 56 to get -22.

$$\sqrt{56\left(-22\right)\left(6-9\right)\left(56-35\right)}$$

Multiply 56 and -22 to get -1232.

$$\sqrt{-1232\left(6-9\right)\left(56-35\right)}$$

Subtract 9 from 6 to get -3.

$$\sqrt{-1232\left(-3\right)\left(56-35\right)}$$

Multiply -1232 and -3 to get 3696.

$$\sqrt{3696\left(56-35\right)}$$

Subtract 35 from 56 to get 21.

$$\sqrt{3696\times 21}$$

Multiply 3696 and 21 to get 77616.

$$\sqrt{77616}$$

Factor 77616=84^{2}\times 11. Rewrite the square root of the product \sqrt{84^{2}\times 11} as the product of square roots \sqrt{84^{2}}\sqrt{11}. Take the square root of 84^{2}.

$$84\sqrt{11}$$