Free help with homework

Why join Brainly?

  • ask questions about your assignment
  • get answers with explanations
  • find similar questions


√5 is rational (contradiction method)

√5=a/b (a and b are not common factor)

5=a^2/b^2 (squaring both sides)

a^2=25 b^2, ( a=5c)

25c^2=5b^2 =>
5c^2= b^2=>5/b^2=>5/b.
But now we find that 5 divides both a and b, which contradicts our earlier assumption that a and b have no common factor.

Therefore, we conclude that our assumption that √5 is rational is false, ie, √5 is irrational.
0 0 0
please mark as the Brainliest Answer
The Brain
  • The Brain
  • Helper
Not sure about the answer?
Learn more with Brainly!
Having trouble with your homework?
Get free help!
  • 80% of questions are answered in under 10 minutes
  • Answers come with explanations, so that you can learn
  • Answer quality is ensured by our experts