show that ✓2 is an irrational no. and also show that
✓3 an irrational number write the similarity
and dissimilarity in proving the above.
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Answered by
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Let x=2−3
5
be a rational number.
3
5
=2−x
5
=
3
2−x
Since x is rational, 2-x is rational and hence
3
2−x
is also rational number
⇒
5
is a rational numbers, which is a contradiction.
Hence 2−3
5
must be an irrational number.
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