Math, asked by prathapporeddy, 11 months ago

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​

Answers

Answered by rajdheerajcreddy
2

Answer is given in the pic.

Attachments:
Answered by mysticd
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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