Math, asked by anamika13water, 6 months ago

Q4show that 3 + V2 is an irrational number, given that V2 is irrational.​

Answers

Answered by Uniquedosti00017
1

Answer:

see the attachment for the solution.

Attachments:
Answered by rekharajput0919
1

Answer:

Let us assume, to the contrary, that 3

2

is

rational. Then, there exist co-prime positive integers a and b such that

3

2

=

b

a

2

=

3b

a

2

is rational ...[∵3,a and b are integers∴

3b

a

is a rational number]

This contradicts the fact that

2

is irrational.

So, our assumption is not correct.

Hence, 3

2

is an irrational number

Attachments:
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