Square of n integers can be expressed in...

Square of n integers can be expressed in the form of 4p or (4p+1).

REAL NUMBERS
KALYANI PUBLICATION|Exercise Exercise|12 Videos
QUADRATIC EQUATION
KALYANI PUBLICATION|Exercise EXERCISE|144 Videos
RECAPITULATION OF RATIONAL AND IRRATIONAL NUMBERS
KALYANI PUBLICATION|Exercise EXERCISE|20 Videos

Similar Questions

Explore conceptually related problems

Every integer can be expressed in the form of 3p or ( 3p+-1 )

If q is a positive integer, square of every integer can be expressed in the form of 8q+1.

Prove that every odd integer can be expressed in the form of (q in Z) 4q +- 1

Prove that an integer which can be expressed in the form of 6k+5 can be also expressed in the form of 3k-1.

Applying division algorithm prove that every intiger can de expressed in the following form ( q in Z, q>0) 4q, (4q+-1) or ( 4q+-2)

Use Euclid's division lemma to show that the square of any positive integer is either of the form 3m or 3m+1 for some integer m.

Show that the following decimal expression can be put in the form of p/q , where q is of the form of 2^m . 5^n . 1.2315

Show that the following decimal expression can be put in the form of p/q , where q is of the form of 2^m . 5^n . 3.78125

Show that the following decimal expression can be put in the form of p/q , where q is of the form of 2^m . 5^n . 0.6592

Examine the following rational numbers can be put in the form of 2^m 5^n where m and n are both integers. 4.628452