Solve 4sqrt{30}*3sqrt{12}

$$4 \sqrt { 30 } \cdot 3 \sqrt { 12 }$$

Evaluate

$$72\sqrt{10}\approx 227.683991532$$

Solution Steps

Multiply 3 and 4 to get 12.

$$12\sqrt{30}\sqrt{12}$$

Factor 12=2^{2}\times 3. Rewrite the square root of the product \sqrt{2^{2}\times 3} as the product of square roots \sqrt{2^{2}}\sqrt{3}. Take the square root of 2^{2}.

$$12\sqrt{30}\times 2\sqrt{3}$$

Multiply 12 and 2 to get 24.

$$24\sqrt{30}\sqrt{3}$$

Factor 30=3\times 10. Rewrite the square root of the product \sqrt{3\times 10} as the product of square roots \sqrt{3}\sqrt{10}.

$$24\sqrt{3}\sqrt{10}\sqrt{3}$$

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

$$24\times 3\sqrt{10}$$

Multiply 24 and 3 to get 72.

$$72\sqrt{10}$$