Which option is the biggest common misconception in the proofs of (\sqrt{2}), (\sqrt{3}), and (\sqrt{5})?
Answer and explanation
Correct answer: Treating the square root as equal to the number inside it
Step 1: Writing (\sqrt{2}=2), (\sqrt{3}=3), or (\sqrt{5}=5) is wrong. Step 2: In the correct proof, the square root is assumed as a fraction and then squared. Step 3: Do not confuse the square root with the number inside it.
Frequently asked questions
What is the correct answer to this question?
Treating the square root as equal to the number inside it
Why is this the correct answer?
Step 1: Writing (\sqrt{2}=2), (\sqrt{3}=3), or (\sqrt{5}=5) is wrong. Step 2: In the correct proof, the square root is assumed as a fraction and then squared. Step 3: Do not confuse the square root with the number inside it.
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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