Which option gives the correct order of the proof of (\sqrt{3})?
Advertisement
Answer and explanation
Correct answer: Assume rational, get (p^2=3q^2), show both (p) and (q) divisible by (3)
Step 1: Assume (\sqrt{3}) rational and write it in lowest form. Step 2: Squaring gives (p^2=3q^2). Step 3: Finally, show common factor (3) in both and write the contradiction.
Frequently asked questions
What is the correct answer to this question?
Assume rational, get (p^2=3q^2), show both (p) and (q) divisible by (3)
Why is this the correct answer?
Step 1: Assume (\sqrt{3}) rational and write it in lowest form. Step 2: Squaring gives (p^2=3q^2). Step 3: Finally, show common factor (3) in both and write the contradiction.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Proof of irrationality of √2, √3, √5.
Advertisement