Solve frac{sqrt{42}*sqrt{30}}{2}

$$\frac { \sqrt { 42 } \times \sqrt { 30 } } { 2 }$$

Evaluate

$$3\sqrt{35}\approx 17.748239349$$

Solution Steps

To multiply \sqrt{42} and \sqrt{30}, multiply the numbers under the square root.

$$\frac{\sqrt{1260}}{2}$$

Factor 1260=6^{2}\times 35. Rewrite the square root of the product \sqrt{6^{2}\times 35} as the product of square roots \sqrt{6^{2}}\sqrt{35}. Take the square root of 6^{2}.

$$\frac{6\sqrt{35}}{2}$$

Divide 6\sqrt{35} by 2 to get 3\sqrt{35}.

$$3\sqrt{35}$$