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Question

The number (1+3)2 is a/an ____________.


A

natural number

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B

rational number

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C

irrational number

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D

integer

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Solution

The correct option is C

irrational number


On expanding (1+3)2 using the formula (a+b)2, we find that

(1+3)2=(1)2+(3)2+2(1)(3) =4+23

3 is an irratioanl number.
Since, multiplying rational with irrational results irrational .
23 an irrational number.

Addition of a rational and irrational number results an irrational number.
So, 4+23 is irrational

Therefore the equation (1+3)2 is also irrational.


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