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Question

Rationalize 3-13+1


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Solution

Given expression

3-13+1

We know that

(a-b)2=a2-2ab+b2 and (a+b)(a-b)=a2-b2

To rationalize the given expression we will multiply and divide the denominator by 31

3-13+1×3-13-1=(3-1)2(3+1)(3-1)=3+1-233-1=4-232=2(2-3)2=2-3

Hence we get 2-3 after rationalization.


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