PROVE THE FOLLOWING STATEMENTS :
Asked by | 14th Apr, 2008, 11:40: AM
If a number is of the type 4k + 2 it is even.
If an even number is square, then it is the square of an even number, not the square of an odd number.
Square of an even number, say 2n, is 4n^2, which is a multiple of 4. So if an even number is a square, it has to be a multiple of 4.
But 4k+2 is not a multiple of 4. When you divide it by 4 you get a remainder of 2, not zero.
Answered by | 15th May, 2008, 09:22: PM
Kindly Sign up for a personalised experience
- Ask Study Doubts
- Sample Papers
- Past Year Papers
- Textbook Solutions
Verify mobile number
Enter the OTP sent to your number