The value of $\sqrt{11 + 2\sqrt{18}}$ is closest to:

4.4 4.8 3.8 4.1

4.4

We know = ( a + b )2 = a2 + b2 + 2ab Given = $\sqrt{11 + 2\sqrt{18}}$ $\sqrt{11 + 2\sqrt{18}}$ = $\sqrt{(3 + \sqrt{2}})^2$ $\sqrt{11 + 2\sqrt{18}}$ = ( 3 +1.41) $\sqrt{11 + 2\sqrt{18}}$ = 4.4