I've been wrapping my head around this question lately:
Let
a=9+√452
Find the value of
1a
I've done it like this:
1a=29+√45
I rationalize the denominator like this:
1a=29+√45×(9−√459−√45)
This is what I should get:
1a=2(9−√45)81−45→1a=18−2√4536)
Which I can simplify to:
1a=2(9−√45)36→1a=9−√4518
However, this answer can't be found in my multiple choice question here:
Any hints on what I'm doing wrong?
Answer
1a=9−√4518=3(3−√5)18=3−√56
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