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Class 10MathematicsReal NumbersProof of irrationality of √2, √3, √5MediumLevel 17

In the proof of (\sqrt{5}), after putting (p=5k), (25k^2=5q^2) is obtained. Which conclusion is correct?

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Answer and explanation

Correct answer: (q^2=5k^2)

Step 1: Divide both sides of (25k^2=5q^2) by (5). Step 2: We get (5k^2=q^2), that is (q^2=5k^2). Step 3: This is used to prove (q) is also divisible by (5).

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sqrt5 proofsubstitutionmediumclass 10

Frequently asked questions

What is the correct answer to this question?

(q^2=5k^2)

Why is this the correct answer?

Step 1: Divide both sides of (25k^2=5q^2) by (5). Step 2: We get (5k^2=q^2), that is (q^2=5k^2). Step 3: This is used to prove (q) is also 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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