Question

simplify square root of 48- square root of 72 - square root of 27 +2square root 18

Answer 1

$$\begin{gathered} \sqrt{48}-\sqrt{72}-\sqrt{27}+2\sqrt{18} \\ =\sqrt{2\times 2\times 2\times 2\times 3}-\sqrt{2\times 2\times 2\times 3\times 3}-\sqrt{3\times 3\times 3}+2\sqrt{2\times 3\times 3} \\ =4\sqrt{3}-6\sqrt{2}-3\sqrt{3}+6\sqrt{2} \\ =\sqrt{3} \end{gathered}$$