Question

सिद्ध कीजिए कि 5-{3}{7}√3 एक अपरिमेय संख्या है
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Answer 1

Step-by-step explanation:

Given Prove that 5- {3} {7} √3 is an irrational number

• We need to prove that 5 – 3 / 7√3 is an irrational number.
• Also we need to write in p/q form where p and q are co prime.
• So 5 – 3 / 7√3 = p/q
• Or 5 – p/q = 3 / 7√3
• Or 5q – p / q = 3 / 7√3
• 3q / 5q – p = 7√3
• 3q / 7(5q – p) = √3
• Therefore the left hand side is a rational number and the right hand side is an irrational number which cannot be equal and so it contradicts the assumption.
• Therefore 5 – 3/7√3 is an irrational number.

Reference link will be

https://brainly.in/question/6310502