Question

Prove that either 172017+ 1983 or 172017+ 1984 is not a perfect square.

Prove that either 172017+ 1983 or 172017+ 1984 is not a perfect square.

Homework Answers

Answer #1

if u have any questions please comment

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Prove that there is no integer which is a perfect square and is a multiple of...
Prove that there is no integer which is a perfect square and is a multiple of 2, but is not a multiple of 4.
Let n be an integer. Prove that if n is a perfect square (see below for...
Let n be an integer. Prove that if n is a perfect square (see below for the definition) then n + 2 is not a perfect square. (Use contradiction) Definition : An integer n is a perfect square if there is an integer b such that a = b 2 . Example of perfect squares are : 1 = (1)2 , 4 = 22 , 9 = 32 , 16, · · Use Contradiction proof method
.Prove that for all integers n > 4, if n is a perfect square, then n−1...
.Prove that for all integers n > 4, if n is a perfect square, then n−1 is not prime.
Prove that a positive integer n, n > 1, is a perfect square if and only...
Prove that a positive integer n, n > 1, is a perfect square if and only if when we write n = P1e1P2e2... Prer with each Pi prime and p1 < ... < pr, every exponent ei is even. (Hint: use the Fundamental Theorem of Arithmetic!)
Prove that if x, y are both odd, then x^2 + y^2 is not a perfect...
Prove that if x, y are both odd, then x^2 + y^2 is not a perfect square. (Hint: first prove that if a number is a square and even, it is congruent to zero modulo four.)
Completing the square. Find the value of n so the expression is a perfect square trinomial....
Completing the square. Find the value of n so the expression is a perfect square trinomial. Factor the trinomial for equation of y^2=4y+n
Prove: The diagonals of a square are perpendicular.
Prove: The diagonals of a square are perpendicular.
Show that [111]b is not a perfect square in any base b.
Show that [111]b is not a perfect square in any base b.
If the vertices of a square are a,b,c,d, prove that the center of the square is...
If the vertices of a square are a,b,c,d, prove that the center of the square is 1/4(a+b+c+d).
Prove that the square root of 17 is irrational. Subsequently, prove that n times the square...
Prove that the square root of 17 is irrational. Subsequently, prove that n times the square root of 17 is irrational too, for any natural number n. use the following lemma: Let p be a prime number; if p | a2 then p | a as well. Indicate in your proof the step(s) for which you invoke this lemma. Check for yourself (but you don’t have to include it in your worked solutions) that this need not be true if...