Question

explain in detail, correct and detailed ans will be marked as Brainliest​

Answer 1

Answer:

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

Step-by-step explanation:

Let a, g1, g2, b are in G.P,

then g1 = √(ag2) ....

(i) Similarly g2 = √(g1b)

$\frac{g_{1} ^{2} }{g_{2} } +\frac{g_{2} ^{2} }{g_{1} }=\frac{\sqrt{ag_{2}^{2} } }{g_{2} }+\frac{\sqrt{bg_{1}^{2} }}{g_{1}} =\frac{\sqrt{a}g_{2} }{g_{2}} +\frac{\sqrt{b}g_{1} }{g_{1}}=\sqrt{a} +\sqrt{b}$