Question

plz solve this immediately ​

Answer 1

Answer:

√3+√2 this can be my prediction

Answer 2

Answer:

Option 2

Step-by-step explanation:

$\sf \sqrt{5+2\sqrt{6}}$

$\sf \sqrt{5+2\sqrt{6}} = \sqrt{a} + \sqrt{b}$

$\sf Squaring\:the\:equation$

$\sf 5 + 2\sqrt{6} = a + b + 2\sqrt{ab}$

$\sf a + b = 5\: I.e\: a = 5 - b$

$\sf 2\sqrt{ab} = 2\sqrt{6} \:i.e \:ab = 6$

$\sf ( 5 - b )b = 6$

$\sf {b}^{2} - 5b + 6 = 0$

$\sf b = 2\: or \:3$

$\boxed{\sf{\bold{\red{ \sqrt{5+2\sqrt{6}} = \sqrt{3}+ \sqrt{2} }}}}$

#JaiBhavaniJaiShivaji