Solve sqrt{12}*sqrt{3}*sqrt{28}

$$\sqrt { 12 } \times \sqrt { 3 } \times \sqrt { 28 }$$

Evaluate

$$12\sqrt{7}\approx 31.749015733$$

Solution Steps

Factor 12=3\times 4. Rewrite the square root of the product \sqrt{3\times 4} as the product of square roots \sqrt{3}\sqrt{4}.

$$\sqrt{3}\sqrt{4}\sqrt{3}\sqrt{28}$$

Multiply \sqrt{3} and \sqrt{3} to get 3.

$$3\sqrt{4}\sqrt{28}$$

Factor 28=4\times 7. Rewrite the square root of the product \sqrt{4\times 7} as the product of square roots \sqrt{4}\sqrt{7}.

$$3\sqrt{4}\sqrt{4}\sqrt{7}$$

Multiply \sqrt{4} and \sqrt{4} to get 4.

$$3\times 4\sqrt{7}$$

Multiply 3 and 4 to get 12.

$$12\sqrt{7}$$