Question

prove that √5 is irrational ​

Answer 1

Answer:

Here is your answer

Hope it helps you

Answer 2

Answer:

plz mark answer as branliest

Step-by-step explanation:

Proof:

let us assume that √5 is a rational number

suppose that it can be written in the form p/q where p,q are co-prime integers and q is not equal to 0.

therefore √5=p/q

on squaring both the sides we get,

5=p2 / q2

5q2=p2...........................(i)

p2/5=q2

so 5 divides p

p is a multiple of 5

p=5m

p2=25m2...................(ii)

from equation (i) and (ii) we get,

5q2=25m2

q2=5m2

✓ q2 is a multiple of 5

✓ q is a multiple of 5

hence p,q have a common factor. this contradicts are assumption that they are co-primes

therefore p,q are not ratinol number.

√5 is an irrational number

HENCE PROOF

( the number 2 with p and q is a square plz write it like a square)