Math, asked by AmmolSingh, 1 year ago

If a = √3+1

/√3−1

and b = 1

/a , find a2

-b

2 + ab.

Answers

Answered by Shubhendu8898
3
Given,.
a = √3+1/ √3-1.
a= 2 + √3
b= 1/a
= √3-1 / √3+1
b= √3 - 2
Now,.

a² -b² +2ab.
= (a-b)(a+b) + 2ab.
>>see picture!!!..

hope it helped you!!!!
Attachments:

Shubhendu8898: see picture
AmmolSingh: i want to ask frm where u take √3-2 in b
Shubhendu8898: by multiplying with congugates ...see second picture
AmmolSingh: if your answer is √3-2 tjen how u will take it at first how will u assume that only√3-2 is tje answer
Shubhendu8898: bcz it is a congugate of a !!
Shubhendu8898: so i will be easy to solve
AmmolSingh: sorry i want to ask that u have written that b=1/a = 1/√3+2.
Shubhendu8898: bcz i already solve a=√3+2 so simply i putted it
AmmolSingh: ok u solved my doubt
Shubhendu8898: pleasure to help you !!
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