Math, asked by bhavikathakor2486, 6 months ago

Prove that √5 is an irrational number​

Answers

Answered by ndhm0605
0

Answer:

It is and irrational number

Step-by-step explanation:

\sqrt{5} = 2.236067978

This shows no signs of ending. No number sequences repeat themselves, thus showing signs of never ending. This cannot be written as an integer therefore, it is irrational.

I found this online:

"This is a contradiction since a number cannot have an odd number of prime factors and an even number of prime factors at the same time. The assumption that square root of 5 is rational is wrong. Therefore, square of 5 is irrational".

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