In the proof of (\sqrt{5}), which step comes just before concluding that (q) is divisible by (5)?
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Answer and explanation
Correct answer: Getting (q^2=5k^2)
Step 1: After substituting (p=5k), we get (q^2=5k^2). Step 2: This makes (q^2) divisible by (5). Step 3: By the prime rule, (q) is said to be divisible by (5).
Frequently asked questions
What is the correct answer to this question?
Getting (q^2=5k^2)
Why is this the correct answer?
Step 1: After substituting (p=5k), we get (q^2=5k^2). Step 2: This makes (q^2) divisible by (5). Step 3: By the prime rule, (q) is said to be divisible by (5).
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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