What is obtained by putting (p=5k) in (p^2=5q^2)?
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Answer and explanation
Correct answer: (q^2=5k^2), so (q) is divisible by (5)
Step 1: If (p=5k), then (p^2=25k^2). Step 2: From (25k^2=5q^2), we get (q^2=5k^2), so (q) is also divisible by (5). Step 3: Getting a common factor creates the contradiction.
Frequently asked questions
What is the correct answer to this question?
(q^2=5k^2), so (q) is divisible by (5)
Why is this the correct answer?
Step 1: If (p=5k), then (p^2=25k^2). Step 2: From (25k^2=5q^2), we get (q^2=5k^2), so (q) is also divisible by (5). Step 3: Getting a common factor creates 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.
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