# Grade Six Mathematics

Hello Boys and Girls! I hope you had a rewarding week at school. I hope that you practiced working division sums.

This week’s topic will be Square Numbers and Square Root. Square Numbers

The product of a number and itself gives a square number. e.g 1x1 =1 ; therefore 1 is a square number. 3x3 = 9; therefore 9 is a square number.

In mathematics, a square is the result of multiplying a number by itself. The verb “to square” is used to denote this operation. Squaring is the same as raising to the power 2, and is denoted by a superscript 2; for instance, the of 5 may be as 52, which is the number 25. We can also represent in diagram form. Try squaring the following numbers using diagrams. 1. 2 2. 4 3. 6 4. 8

I hope this practice will help you to understand the concept. Now, com plete the following table to the number 25. Challenge yourself to get all correct. Square Root

The square root of a number is that number that is squared to get the square number.

e.g. = 16; so the square root of 16 is 4. The symbol for square root is .

Let’s try to find the square root of the following numbers, mentally. We will check the answers next week.

1. 25 2. 49 3. 100 4. 144 5. 4 6. 36

We can also find the square root of numbers by doing repeated division. Steps:

1. Divide the number by its prime factors. ( Start with the small est)

2. Divide repeatedly until the answer is 1. 3. Express the number as the product of its prime factors.

4. The square root is the product of half of the factors that are alike.

e.g. What is the square root of 144? 144 = 2x2x2x2x3x3 = x

The square root of 144 = 2x2x3 = 12. Now, calculate the square root of the following numbers by doing repeated division.

1. 100

2. 225

3. 196 Next week, we will discuss answers.

4. 256

5. 324

square written