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VK GLOBAL PUBLICATION-REAL NUMBERS-Proficiency Exercise (Long Answer Questions)
- Show that the cube of a positive integer of the form 6q+r,q is an inte...
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- Show that one and only one out of n, n + 4, n + 8, n + 12 and n + 16 i...
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- Use Euclid's division algorithm to find HCF of 177 and 210
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- Show that the square of any positive integer cannot be of the form 6m+...
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- Prove that 2+sqrt5 is an irrational number.
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- Prove that 3-sqrt5 is an irrational number
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- Prove that sqrtp+sqrtq is an irrational, where p and q are primes.
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- Prove that sqrt5 is an irrational number and hence show that 3 +sqrt5 ...
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- Show that one and only one out of n ,n+2or ,n+4 is divisible by 3, whe...
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