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Rationalize the denominator.

Rationalize the denominator.-example-1
User Bahar
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1 Answer

5 votes

Hello and Good Morning/Afternoon!

Let's take this problem step-by-step:

What the problem asks for:

⇒ to rationalize the denominator

⇒ rationalize means that you multiply the numerator and

demonimator by the denominator

Let's put that into action:


(√(a +1)-2 )/(√(a+1)+2 ) * (√(a +1)+2 )/(√(a+1)+2 )\\=(a +1-4 )/(a+1+4√(a+1)+4 ) \\=(a-3)/(a+4√(a+1)+5 )<== Answer

Hopefully that helps!

User Zalman Stern
by
6.8k points