Thursday, 30 March 2017

fractions - Let a=frac9+sqrt452. Find frac1a



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×(945945)



This is what I should get:



1a=2(945)81451a=1824536)




Which I can simplify to:



1a=2(945)361a=94518



However, this answer can't be found in my multiple choice question here:



enter image description here



Any hints on what I'm doing wrong?


Answer




1a=94518=3(35)18=356


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