Square Roots
Chapter Name : Squares And Square Roots |
Sub Topic Code : 104_08_06_05_03 |
Topic Name : Square Roots |
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Sub Topic Name : Finding Square Root Through Prime Factorization |
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Introduction
What is a square root?
Pre-Requisites:
Basic knowledge about arithmetic operations, square numbers and square roots
Activity:
A square number on factorization with prime numbers starting from smallest will result in zero as the remainder.
Real Life Question:
How are the lengths of diagonals of a room measured?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Square root | A number which when multiplied by itself will form a square number. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Abacus | Represent the prime number divisor on the extreme left of the abacus. Leave enough room and represent the dividend. Now divide and note the value. If it is 0, stop further process. If it isn’t zero, check which prime number can be used as divisor to this new dividend and repeat process. |
Real life uses :
Construction, business transactions, computer games, animations
Practical examples around us
| Examples | Explainations |
|---|---|
| Overhead tanks | The area of the tank is measured by dividing the capacity of tank with its proposed height. We use square roots to determine sides or radius |
| Computer games | The squares and square roots are used in construction of computer games during interactions of characters with objects |
What you learn in Theory:
Like subtraction and division, the inverse operations of addition and multiplication, finding a square root is the inverse operation of squaring a number. A square root can be found by factorization of the square with prime numbers.
What you learn in Practice:
The beads on the abacus result a new dividend after every division until the remainder of the previous operation is zero. When the remainder becomes 0, the noted down values of primes are multiplied and their numbers are halved to get the square root.