Solve 0,5*5*sqrt{75}

$$0,5 \times 5 \times \sqrt { 75 }$$

Evaluate

$$\frac{25\sqrt{3}}{2}\approx 21.650635095$$

Solution Steps

Multiply 0,5 and 5 to get 2,5.

$$2,5\sqrt{75}$$

Factor 75=5^{2}\times 3. Rewrite the square root of the product \sqrt{5^{2}\times 3} as the product of square roots \sqrt{5^{2}}\sqrt{3}. Take the square root of 5^{2}.

$$2,5\times 5\sqrt{3}$$

Multiply 2,5 and 5 to get 12,5.

$$12,5\sqrt{3}$$