Solve 12sqrt{25*12-3}60

$$12 \sqrt{ 25 \times 12-3 } 60$$

Evaluate

$$2160\sqrt{33}\approx 12408.255316522$$

Solution Steps

Multiply 12 and 60 to get 720.

$$720\sqrt{25\times 12-3}$$

Multiply 25 and 12 to get 300.

$$720\sqrt{300-3}$$

Subtract 3 from 300 to get 297.

$$720\sqrt{297}$$

Factor 297=3^{2}\times 33. Rewrite the square root of the product \sqrt{3^{2}\times 33} as the product of square roots \sqrt{3^{2}}\sqrt{33}. Take the square root of 3^{2}.

$$720\times 3\sqrt{33}$$

Multiply 720 and 3 to get 2160.

$$2160\sqrt{33}$$