Question

Prove that √5 is irrational​

Answer 1

Answer:

Here is your answer.

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Answer 2

Step-by-step explanation:

assume √5is rational number

it can be expressed asp/q here q is not equal to 0,p&q are coprimes

√5=p/q

squaring both sides

5=p^2/q^2

5q^2=p^2

5is multiple of p^2

i.e 5 is also multiple of p

putting 5m=p

5q^2=25m^2

q^2=5m^2

i.e 5is multiple of q^2

5is also multiple of q

our assumption is wrong

p& q are co primes

so,√5 is irrational no.