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Question

If x=3-23+2 and y = 3+23-2 , then x2 + y +y2 =

(a) 101
(b) 99
(c) 98
(d) 102

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Solution

Given that and.

We need to find

Now we will rationalize x. We know that rationalization factor for is. We will multiply numerator and denominator of the given expression by, to get

Similarly, we can rationalize y. We know that rationalization factor for is. We will multiply numerator and denominator of the given expression by, to get

Therefore,

Hence the value of the given expression is.


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