In the proof of (\sqrt{3}), after putting (a=3t), which form of (b^2) follows from (a^2=3b^2)?
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Answer and explanation
Correct answer: (b^2=3t^2)
Step 1: If (a=3t), then (a^2=9t^2). Step 2: From (9t^2=3b^2), divide by (3) to get (b^2=3t^2). Step 3: Do not rush the division step.
Frequently asked questions
What is the correct answer to this question?
(b^2=3t^2)
Why is this the correct answer?
Step 1: If (a=3t), then (a^2=9t^2). Step 2: From (9t^2=3b^2), divide by (3) to get (b^2=3t^2). Step 3: Do not rush the division step.
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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