Which option gives the correct reason for writing (a=3k) in the proof of (\sqrt{3})?
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Answer and explanation
Correct answer: Because (a^2) is divisible by (3) and (3) is prime
Step 1: From (a^2=3b^2), (a^2) is divisible by (3). Step 2: Since (3) is prime, (a) is also divisible by (3). Step 3: Therefore writing (a=3k) is valid.
Frequently asked questions
What is the correct answer to this question?
Because (a^2) is divisible by (3) and (3) is prime
Why is this the correct answer?
Step 1: From (a^2=3b^2), (a^2) is divisible by (3). Step 2: Since (3) is prime, (a) is also divisible by (3). Step 3: Therefore writing (a=3k) is valid.
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.
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