Question

find square root of a+b +2 root ab =___
a,a power 1/2 + b power 1/2
b,square root a+b
c,a+square root b
d,none​

Answer 1

Answer is given in the pic.

Answer 2

$Given \: \sqrt{ a + b + 2\sqrt{ab}}$

$= \sqrt{ \sqrt{a}^{2} + \sqrt{b}^{2} + 2 \times \sqrt{a} \times \sqrt{b}}$

/* By Algebraic identity */

$\boxed{ \pink{ x^{2} + y^{2} + 2xy = (x+y)^{2} }}$

$= \sqrt{ ( \sqrt{a} + \sqrt{b})^{2} }$

$= \sqrt{a} + \sqrt{b}$

Therefore.,

$\red{ \sqrt{ a + b + 2\sqrt{ab}} }$

$\green { = \sqrt{a} + \sqrt{b} }$

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