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If someone writes (b) is even directly from (a^2=2b^2) in the proof of (\sqrt{2}), what is the mistake?
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Answer and explanation
Correct answer: First (a) must be proved even and (a=2k) must be substituted
Step 1: From (a^2=2b^2), first (a^2), then (a), is proved even. Step 2: To prove (b) even, (a=2k) must be substituted. Step 3: Jumping directly to (b) is an order error.
Frequently asked questions
What is the correct answer to this question?
First (a) must be proved even and (a=2k) must be substituted
Why is this the correct answer?
Step 1: From (a^2=2b^2), first (a^2), then (a), is proved even. Step 2: To prove (b) even, (a=2k) must be substituted. Step 3: Jumping directly to (b) is an order error.
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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