Question

Q. Show that a perfect square never leaves remainder 2 on dividing by 3. ​

Answer 1

Answer:

Please refer the attachment for the answer.

Hope the answer helps you.

Answer 2

Answer:

We divide the numbers into three types on the basis of their divisibility by 3. Use the concept of perfect squares to calculate the perfect squares of the three numbers. Take the square of each number and divide by 3 to find the remainder in each case.

* A number is a perfect square if on taking the square root of the perfect square we get a natural number.

* If ‘a’ is divided by ‘b’ and the quotient comes out to be ‘q’ and the remainder is ‘r’, then we can write a=bq+r

#thanx for the points