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# CBSE Class 10 Answered

solution
Asked by meelunaresh | 02 Jan, 2024, 10:09: AM

image quality is very poor, managed to read first question. Too many number of questions should not be asked in one posting.

Hence only first question is answered.

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First question :-

Prove that  is irrational  where x and y are prime .

Let is rational number so that

........................... (1)

where p and q are integers .

By squaring eqn.(1) , we get

Hence we get

where a and b are integers .

Hence if we assume that is rational number , then we get   is a rational number .

But x and y are prime numbers and squareroot of product of prime numbers is not a rational number .

Hence the initial assumption , ' is rational number ' is not correct.

Hence  is irrational number .

Answered by Thiyagarajan K | 02 Jan, 2024, 01:21: PM

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