Show that 2√3 + 5 is an irrational number.
Answers
Answered by
18
Step-by-step explanation:
therefore it can be written in form of a and b where a and b are co-prime numbers. 5a/b is rational number as it is of the form p/q which is a rational number. but we know that √3 is irrational number so our assumption is wrong. 2√3/5 is irrational.01-Jun
Answered by
6
Answer:
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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