Solve 24sqrt{6}:4sqrt{3}

$$24 \sqrt { 6 } : 4 \sqrt { 3 }$$

Evaluate

$$18\sqrt{2}\approx 25.455844123$$

Solution Steps

Divide 24\sqrt{6} by 4 to get 6\sqrt{6}.

$$6\sqrt{6}\sqrt{3}$$

Factor 6=3\times 2. Rewrite the square root of the product \sqrt{3\times 2} as the product of square roots \sqrt{3}\sqrt{2}.

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

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

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

Multiply 6 and 3 to get 18.

$$18\sqrt{2}$$