The value of $\sqrt{11 + 2\sqrt{18}}$ is closest to:
Answer & explanation
Correct answer: option 1
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