Solve sqrt{[6(719)-(57)^2][6(583)-(53)^2}

$$\sqrt { [ 6 ( 719 ) - ( 57 ) ^ { 2 } ] [ 6 ( 583 ) - ( 53 ) ^ { 2 } }$$

Evaluate

$$\sqrt{733785}\approx 856.612514501$$

Solution Steps

Multiply 6 and 719 to get 4314.

$$\sqrt{\left(4314-57^{2}\right)\left(6\times 583-53^{2}\right)}$$

Calculate 57 to the power of 2 and get 3249.

$$\sqrt{\left(4314-3249\right)\left(6\times 583-53^{2}\right)}$$

Subtract 3249 from 4314 to get 1065.

$$\sqrt{1065\left(6\times 583-53^{2}\right)}$$

Multiply 6 and 583 to get 3498.

$$\sqrt{1065\left(3498-53^{2}\right)}$$

Calculate 53 to the power of 2 and get 2809.

$$\sqrt{1065\left(3498-2809\right)}$$

Subtract 2809 from 3498 to get 689.

$$\sqrt{1065\times 689}$$

Multiply 1065 and 689 to get 733785.

$$\sqrt{733785}$$