Solve 3sqrt{12}*2sqrt{18}

$$3 \sqrt { 12 } \times 2 \sqrt { 18 }$$

Evaluate

$$36\sqrt{6}\approx 88.18163074$$

Solution Steps

Multiply 2 and 3 to get 6.

$$6\sqrt{12}\sqrt{18}$$

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}.

$$6\times 2\sqrt{3}\sqrt{18}$$

Multiply 6 and 2 to get 12.

$$12\sqrt{3}\sqrt{18}$$

Factor 18=3^{2}\times 2. Rewrite the square root of the product \sqrt{3^{2}\times 2} as the product of square roots \sqrt{3^{2}}\sqrt{2}. Take the square root of 3^{2}.

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

Multiply 12 and 3 to get 36.

$$36\sqrt{3}\sqrt{2}$$

To multiply \sqrt{3} and \sqrt{2}, multiply the numbers under the square root.

$$36\sqrt{6}$$