Solve 4sqrt{15}*1/2sqrt{5}

$$4 \sqrt { 15 } \times \frac { 1 } { 2 } \sqrt { 5 }$$

Evaluate

$$10\sqrt{3}\approx 17.320508076$$

Solution Steps

Factor 15=5\times 3. Rewrite the square root of the product \sqrt{5\times 3} as the product of square roots \sqrt{5}\sqrt{3}.

$$4\sqrt{5}\sqrt{3}\times \frac{1}{2}\sqrt{5}$$

Multiply \sqrt{5} and \sqrt{5} to get 5.

$$4\times 5\times \frac{1}{2}\sqrt{3}$$

Multiply 4 and 5 to get 20.

$$20\times \frac{1}{2}\sqrt{3}$$

Multiply 20 and \frac{1}{2} to get \frac{20}{2}.

$$\frac{20}{2}\sqrt{3}$$

Divide 20 by 2 to get 10.

$$10\sqrt{3}$$