rove that 5 is irrational.

1.	rove that 5 is irrational.
Answer» Let us assume that√5 is a rational number. We know that the rational numbers are in the form of p/q form where p, q are integers.so,√5 = p/q p =√5q We know that 'p' is a rational number. So√5 q must be rational since it equals to pbut it doesnt occurs with√5 since its not an integer Therefore, p =/=√5q This contradicts the fact that√5 is an irrational numberhence our assumption is wrong and√5 is an irrational number.

Answer»

Let us assume that√5 is a rational number.

We know that the rational numbers are in the form of p/q form where p, q are integers.so,√5 = p/q p =√5q

We know that 'p' is a rational number. So√5 q must be rational since it equals to pbut it doesnt occurs with√5 since its not an integer

Therefore, p =/=√5q

This contradicts the fact that√5 is an irrational numberhence our assumption is wrong and√5 is an irrational number.

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