CameraIcon

SearchIcon

MyQuestionIcon

2

You visited us 2 times! Enjoying our articles? Unlock Full Access!

Real Numbers

Use Euclid's ...

Question

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

Open in App

Solution

Suggest Corrections

thumbs-up

12

Similar questions

Q. Question 4
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.
[Hint: Let x be any positive integer then it is of the form 3q, 3q + 1 or 3q + 2. Now square each of these and show that they can be rewritten in the form 3m or 3m + 1.]

What is the reason behind taking b =3 in Question:

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. [4 MARKS]

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

B.2.1 How Transpiration Occurs

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon