Question

There is a remainder of 3 when a number is divided by 6. What will be the remainder of the square of the same number is divided by 6?

Answer 1

Answer:

Step-by-step explanation:

Let the number be X

Given

X = k(6) + 3

Where k is the quotient (say)

To find X^2

Assume the value of X^2 = a(6) + b

= (k(6) + 3)^2

= (36k^2 + 54k + 9)

= (36k^2 + 54k +6 +3)

=(6k^2 + 9k + 1)(6) + 3

Comparing the two we have

a= 6k^2 + 9k +1

b = 3

Therefore the remainder will be 3