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

If (a^2=5b^2), in which form can (a) be written?

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Answer and explanation

Correct answer: (a=5k), where (k) is an integer

Step 1: From (a^2=5b^2), (a^2) is divisible by (5). Step 2: Therefore (a) is also divisible by (5), so (a=5k). Step 3: After divisibility, write the number using that factor.

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sqrt5 proofdivisibilityclass 10

Frequently asked questions

What is the correct answer to this question?

(a=5k), where (k) is an integer

Why is this the correct answer?

Step 1: From (a^2=5b^2), (a^2) is divisible by (5). Step 2: Therefore (a) is also divisible by (5), so (a=5k). Step 3: After divisibility, write the number using that factor.

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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