Math, asked by murthy41, 1 month ago

if root a,root b,root c are in GP then a,b,c are in

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Answered by abhi178
3

If √a , √b and √c are in GP then a , b and c are in...

solution : √a , √b and √c are in GP

it means, common ratio must be same.

i.e., √b/√a = √c/√b

⇒√b × √b = √a × √c

⇒b = √ac

squaring both sides,

⇒b² = ac

⇒ b/a = c/b [ common ratio is constant ]

therefore a , b and c are also in Geometric progression.

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Answered by kajalshrivastava0854
1

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