real numbers

3. referred as the prince of mathematicians
8. the word ______ comes from the name of the 9th century persian mathematician al-khwarizmi
9. the word ____ is derived from a book named hisab al-jabr w'al-muqabala
12. the proof based on a technique called proof by _______
13. the prime factorisation of a natural no. is _____ except for the order of its factors.
16. r is
17. product of the greatest power of each prime factor involved in the numbers
18. √ 3 is
19. the product and quotient of a non-____rational and irrational is irrational
20. a=bq+r

1. product of the smallest power of each common prime factor in the no.
2. whise decimal expansion ____ into a rational no. of the form p/q
4. let p be a prime no. if p divides a where a is a _____ integer
5. x be a rational no. whose ____ expansion terminates
6. by looking at the prime factorisation of the ____ q of p/q
7. x=p/q where p and q are ____
10. a rational no. of the form p/q where q is the form 2n 5m, to an ____ rational no. to form a/b where b is the power of 10
11. every composite no. can be expressd as a ____ of copimes
14. q is
15. 1/2 is ____ no.
16. x has a decimal expansion which is non-terminating and ____