Question

Is a and b are positive Real numbers , What is (√a+√b)^2

Answer 1

(√a+√b)^2

= (√a)^2 + (√b)^2 + 2(√a)(√b)

= a + b + 2√ab

Answer 2

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

Step-by-step explanation:

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

=$\sqrt{a} ^{2} + \sqrt{b} ^{2} + 2\sqrt{a}\sqrt{b}$   [The identity (a+b)^2=a^2+b^2+2ab is used]

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