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In the proof of (\sqrt{3}), after putting (p=3k), we get (9k^2=3q^2). What follows from this?
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Answer and explanation
Correct answer: (q^2=3k^2)
Step 1: Divide both sides of (9k^2=3q^2) by (3). Step 2: We get (3k^2=q^2), that is (q^2=3k^2). Step 3: This leads to (q) being divisible by (3).
Frequently asked questions
What is the correct answer to this question?
(q^2=3k^2)
Why is this the correct answer?
Step 1: Divide both sides of (9k^2=3q^2) by (3). Step 2: We get (3k^2=q^2), that is (q^2=3k^2). Step 3: This leads to (q) being divisible by (3).
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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