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Find the two numbers which on multiplica...

Find the two numbers which on multiplication with `sqrt360` gives a rational number. Are these numbers rational or irrational?

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Multiplicative inverse of a negative rational number is

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AGRAWAL PUBLICATION-REAL NUMBERS-EXAMPLE
  1. Using prime factorisation method, find the HCF and LCM of 210 and 175.

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  2. Prove that the number 4^n, n being a natural number, can never end wit...

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  3. Find the two numbers which on multiplication with sqrt360 gives a rati...

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  4. Prove that sqrt5 is an irrational number.

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  5. Prove that 2+5sqrt3 is an irrational number, given that sqrt3 is an ir...

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  6. Prove that sqrt2 is an irrational number.

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  7. Find HCF and LCM of 404 and 96 and verify that HCF xx LCM =Product of ...

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  8. Write the denominator of rational number 257/5000 in the form 2^mxx5^n...

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  9. Three bells toll at intervals of 12 minutes, 15minutes and 18minutes r...

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  10. Find if 987/10500 will have terminating or non-terminating (repeating)...

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  12. A merchant has 120 litres and 180 liters of two kinds of oil. He wants...

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  13. Using prime factorisation, find HCF and LCM of 18,45 and 60. Check if ...

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  14. Show that the square of any positive odd integer is of the form 8m+1, ...

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  15. Prove that sqrtp+sqrtq is irrational, where p and q are primes.

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  16. Prove that 3+2sqrt5 is irrational number.

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  17. Show that the square of any positive integer cannot be of the form (5q...

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  18. Prove that one of every three consecutie positive integers is divisble...

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  19. Prove that sqrtn is not a rational number, if n is not perfect square.

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  20. The decimal expansions of some real numbers are given below. In each c...

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