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Using Euclid division lemma , show …

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Using Euclid division lemma , show that the square of any positive integer is either of the foam 3m or (3m+1) for some intiger m

Posted by Shweta Rao ?? 6 years, 10 months ago

CBSE > Class 10 > Mathematics

2 answers

Balbir Singh 6 years, 10 months ago

Let, a is any positive integer. Divide a by 3 so the possible remainder is 0,1,2 for the quotient q and some integer m. So, a can be written as 3q , 3q+1 , 3q+2. Now, =(3q)2 =9q2 =3(3q2) =3m And =(3q+1)2 =9q2+6q+1 =3(3q2+2)+1 =3m+1 And =(3q+2)2 =9q2+12q+4 =9q2+12q+3+1 =3(3q2+4q+1)+1 =3m+1 HENCE PROVED

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Shivank Johari 6 years, 10 months ago

BhAi ncert solution dekh le

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CBSE > Class 10 > Mathematics