Question

prove that
$\sqrt{5}$
is a irrational​

Answer 1

Answer:

it cant be expressed in p/q form and is also not a perfect square

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Answer 2

Step-by-step explanation:

Let√5 is a rational number.Therefore,we can find two integers a,b(b not equal sign 0) such that√5=a/b. let a and b have a common factor other than 1.Then we can divide them by the common factor,and assume that a and b are co-prime. a=√5b,a2=5b2. Therefore,a2 is divisible by 5 and it can be said that a is divisible by 5.Let a=5k,where k is an integer. (5k)2=5b2,। b2=5k2,this means that b2 is divisible by 5 and hence,b is divisible by 5. Hence,cannot be expressed as p/q or it can be said that √5 is irrational.