prove that✓3is a irrational number
Answers
Answered by
7
Answer:
let us assume that√3 is rational.
√3=p/q, where p and q are co prime
squaring both sides
3=p^2/q^2
3q^2=p^2
q^2=p^2/3------(i)
=>p^2 is divisible by 3
=>p is divisible by 3
p=3c
q^2=(3c) ^2/3
9c^2/3
q^2=3c^2
c=q^2/3
=>q^2 is divisible by 3
=>q is divisible by 3
=>p and q have a common factor
this contradicts our assumption.
therefore, √3 is irrational.
plz like and follow me and mark as brainlist
Answered by
5
Answer:
see the attachment
Hope this will help uh.
Attachments:
Similar questions