Solve 4sqrt{6}div2sqrt{2}

$$4 \sqrt{ 6 } \div 2 \sqrt{ 2 }$$

Evaluate

$$4\sqrt{3}\approx 6.92820323$$

Solution Steps

Divide 4\sqrt{6} by 2 to get 2\sqrt{6}.

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

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

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

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

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

Multiply 2 and 2 to get 4.

$$4\sqrt{3}$$