Square Roots

By Soo Jin Lee and Jaehong Shin

Day 1

Finding the square root of a number is the inverse operation squaring that number. Remember, the square of a number is that number times itself.

Square of n = n^2

Square of 5 = 5 * 5 = 5^2 = 25

The perfect squares are the squares of the whole numbers.

Perfect squares:

1, 4, 9, 16, 25, 36, 49, 64, 81, 100

The square root of a number, n, written below is the number that gives n when multiplied by itself.

because 10 * 10 = 100

 

Many mathematical opearations have an inverse, or opposite, operatiom. Subtraction is the opposite of addition, division is the inverse of multiplication, and so on. Squaring has an inverse,too, called "finding the square root." Remember, the square of a number is that number times itself. The perfect squares are the squares of the whole numbers: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100...

 

Here are the square roots of all the perfect squares from 1 to 100.

since 1^2 = 1 since 2^2 = 4 since 3^2 = 9

since 4^2 = 16 since 5^2 = 25 since 6^2=36

since 7^2 = 49 since 8^2 = 64 since 9^2=81

since 10^2 = 100

 

next class, we will find square roots of numbers that aren't perfect squares without a calculator

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