Solve 3sqrt{15}*4sqrt{2}*sqrt{30}

$$3 \sqrt { 15 } \cdot 4 \sqrt { 2 } \cdot \sqrt { 30 }$$

Evaluate

$$360$$

Solution Steps

Factor 30=15\times 2. Rewrite the square root of the product \sqrt{15\times 2} as the product of square roots \sqrt{15}\sqrt{2}.

$$3\times 4\sqrt{15}\sqrt{2}\sqrt{15}\sqrt{2}$$

Multiply \sqrt{15} and \sqrt{15} to get 15.

$$3\times 4\times 15\sqrt{2}\sqrt{2}$$

Multiply \sqrt{2} and \sqrt{2} to get 2.

$$3\times 4\times 15\times 2$$

Multiply 3 and 4 to get 12.

$$12\times 15\times 2$$

Multiply 12 and 15 to get 180.

$$180\times 2$$

Multiply 180 and 2 to get 360.

$$360$$

Factor

$$2^{3}\times 3^{2}\times 5$$