Text Solution
AI Generated Solution
|
RD SHARMA ENGLISH-REAL NUMBERS-All Questions
- Show that every positive even integer is of the form 2q, and that eve...
02:13
|
- prove that there are infinitely many positive integers.
01:19
|
- Determine the prime factorization of each of the following numbers: 13...
05:40
|
- Express each of the following positive integers as the product of its ...
03:15
|
- If a and b are two odd positive integers such that a > b, then prove t...
01:58
|
- Prove that one of every three consecutive positive integers is divi...
04:02
|
- Show that the square of an odd positive integer is of the form 8q+1, f...
06:17
|
- Prove that the square of any positive integer is of the form 5q ,5q+1,...
03:13
|
- Prove that if x and y are odd positive integers, then x^2+y^2 is even ...
02:31
|
- Show that one and only one out of n ,n+2 or n+4 is divisible by 3, whe...
04:37
|
- Prove that n^2-n divisible by 2 for every positive integer n.
02:33
|
- The remainder when the square of any prime number greater than 3 is ...
03:12
|
- Use Euclid’s division algorithm to find the HCF of 4052 and 12576.
04:38
|
- Use Euclid’s division algorithm to find the HCF of 210 and 55.
02:40
|
- If n is a natural number, then 9^(2n)-4^(2n) is always divisible by (a...
02:46
|
- What can you say about the prime factorisations of the denominators of...
04:14
|
- If p1a n dp2 are two odd prime numbers such that p1> p2, then p1 2-p2 ...
02:05
|
- There is a circular path around a sports field. Priya takes 18 minutes...
03:49
|
- A rectangular courtyard is 18m 72cm long and 13m 20cm broad. It is to ...
06:50
|
- If the prime factorization of a natural number n is 2^3*3^2*5^2*6, wri...
03:28
|