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OSWAL PUBLICATION-REAL NUMBERS-NCERT Corner (Exercise - 1.3)
- By using the method of contradiction verify that P: sqrt(5) is irratio...
03:45
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- Prove that 3 + 2 sqrt(5) is an irrational number
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- 1/sqrt2 is
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- Prove that the following irrationals ? 7 sqrt(5)
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- Prove that the following irrationals ? 6 + sqrt(2)
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- Show that the square of any positive integer is either of the form 4q...
04:41
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- Show that cube of any positive integer is of the form 4m, 4m+1 or 4m+3...
07:30
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- Show that the square of any positive integer cannot be of the form 5m ...
07:00
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- Show that the square of any positive integer cannot be of the form 6m+...
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- Show that the square of any odd integer is of the form 4m+1, for some ...
06:51
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- If n is an odd integer, then show that n^(2) - 1 is divisible by 8
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- Prove that if x and y are both odd positive integers then x^(2) + y^...
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- Use Euclid division algorithm to find the HCF of 441, 567 and 693.
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- Using Euclid's division algorithm, find the largest number that divide...
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- Prove that sqrt(3)+\ sqrt(5) is an irrational number.
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- Show that 12^n cannot end with the digits 0 or 5 for any natural numbe...
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- In a morning walk, three persons step off together and their steps mea...
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- Write the denominator of the rational number 257/5000 in the form 2^m ...
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- Prove that sqrtp+sqrtq is an irrational, where p and q are primes.
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