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Question Number 100302 by bemath last updated on 26/Jun/20

(√(3^(−(1/2)) +1)) = ((√(a+1))/3^(−(1/4)) ) . find a ?

312+1=a+1314.finda?

Commented by bobhans last updated on 26/Jun/20

(1/(√3)) +1 = ((a+1)/3^(−(1/2)) ) ⇒ (((√3)+1)/(√3)) = (√3) (a+1)  ⇒a+1 = (((√3)+1)/3) = ((√3)/3) +(1/3)  a = ((√3)/3) − (2/3) = −(2/3)+3^(−(1/2))

13+1=a+13123+13=3(a+1)a+1=3+13=33+13a=3323=23+312

Commented by Dwaipayan Shikari last updated on 26/Jun/20

3^(−(1/2)) +1=((a+1)/3^(−(1/2)) )⇒a+1=(1/3)+(1/(√3))  ⇒ a=(1/(√3))−(2/3)

312+1=a+1312a+1=13+13a=1323

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