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In the proof of (\sqrt{2}), if (c=2u) and (d=2v) are obtained, which form is possible for (\frac{c}{d})?

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Answer and explanation

Correct answer: (\frac{c}{d}=\frac{u}{v})

If both have common factor (2), the fraction reduces to (\frac{u}{v}). So the old form was not lowest.

Related tags

Number-SystemsSqrt2ExpertReduction

Frequently asked questions

What is the correct answer to this question?

(\frac{c}{d}=\frac{u}{v})

Why is this the correct answer?

If both have common factor (2), the fraction reduces to (\frac{u}{v}). So the old form was not lowest.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Proof of irrationality of square root 2 and square root 3.

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