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Question

Simplify (1+313)+(131+3)



A

1

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B

4

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C

2

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D

3

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Solution

The correct option is C

4


It can be solved by rationalizing the denominators individually. For that, first find the rationalizing factors for both the denominators, (13) and (1+3). The rationalizing factor for (13) would be (1+3) and that for (1+3) would be (13)

Rationalizing the given terms we get,

(1+3)(1+3)(13)(1+3)+(13)(13)(1+3)(13)

=1+3+2313+1+32313

=4+232+4232

=232+3

=4


Mathematics

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