Explain that odd positive integer to be a perfect square, Mathematics

Assignment Help:

Show that for odd positive integer to be a perfect square, it should be of the form

8k +1. Let a=2m+1

Ans: Squaring both sides we get a2 = 4m (m +1) + 1

∴ product of two consecutive numbers is always even

m(m+1)=2k

a2=4(2k)+1 a2   = 8 k + 1

Hence proved


Related Discussions:- Explain that odd positive integer to be a perfect square

Limitation of operation research, i need ten points about limitation of ope...

i need ten points about limitation of operation research

Determine the general solution reduction of order, Determine the general so...

Determine the general solution to 2t 2 y'' + ty' - 3y = 0 It given that y (t) = t -1 is a solution.  Solution Reduction of order needs that a solution already be iden

Find the height of the tower, The angle of elevation of the top of a tower ...

The angle of elevation of the top of a tower standing on a horizontal plane from a point A is α .After walking a distance d towards the foot of the tower the angle of elevation is

Math, 3 9/10 into decimal

3 9/10 into decimal

Algebra, Multiple response question.Zack puts a mug of water ni his microwa...

Multiple response question.Zack puts a mug of water ni his microwave oven. He knows that the final temperature of the water will be a function of the number of seconds he heats the

Consumer behaviour, what is consumer behaviour according to accounting

what is consumer behaviour according to accounting

Calculus, using 5 rectangles what is the area under a curve using the funct...

using 5 rectangles what is the area under a curve using the function f(x)=3x+4 and boundries [0,2]

Linear equations, A police academy is training 14 new recruits. Some are wo...

A police academy is training 14 new recruits. Some are working dogs and others are police officers. There are 38 legs in all. How many of each type of recruits are there?

Derivatives, application of derivatives in engg.

application of derivatives in engg.

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd