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Question

If x=32+3, then x3+1x3=


A

2

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B

4

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C

8

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D

9

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Solution

The correct option is B

4


x=(2+3)13x3=2+3

1x3=12+3=1×(23)(2+3)(23)

=23(2)2(3)2=2343

(Rationalising the denominator)

=231=23

x3+1x3=2+3+23=4


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