Solve 4/2*255sqrt{25*2}

$$\frac{ 4 }{ 2 } \times 255 \sqrt{ 25 \times 2 }$$

Evaluate

$$2550\sqrt{2}\approx 3606.244584051$$

Solution Steps

Divide 4 by 2 to get 2.

$$255\times 2\sqrt{25\times 2}$$

Multiply 255 and 2 to get 510.

$$510\sqrt{25\times 2}$$

Multiply 25 and 2 to get 50.

$$510\sqrt{50}$$

Factor 50=5^{2}\times 2. Rewrite the square root of the product \sqrt{5^{2}\times 2} as the product of square roots \sqrt{5^{2}}\sqrt{2}. Take the square root of 5^{2}.

$$510\times 5\sqrt{2}$$

Multiply 510 and 5 to get 2550.

$$2550\sqrt{2}$$