2. COMPUTER INSTRUCTOR J.H.S. GOT, MORADABAD

3. How to Square A Number :- To square a number, just multiply it by itself...

4. Example: What is 3 squared? 3 squared = 123 456 789 3 3 = 3 × 3 = 9

5. "Squared" is often written as a little 2 like this: 4 2 = 16 This means“squared ” This says "4 Squared equals 16" (the little 2 says the number appears twice in multiplying)

6. Squares From 1 2 to 6 2

7. Negative Numbers You can also square negative numbers. Example: What happens when you square (-5) ? (-5) × (-5) = 25 (because a negative times a negative gives a positive)negative times a negative gives a positive

8. That was interesting! When you square a negative number you get a positive result. Just the same as if you had squared a positive number: SAME ANSWER So we can say that the square of positive & negative numbers is always positive.

9. A square root of a number is a value that can be multiplied by itself to give the original number.

10. 3 squared is 9, so a square root of 9 is 3 RELATION B/N SQUARE & SQUARE ROOT

11. This is the special symbol that means "square root", it is sort of like a tick, and actually started hundreds of years ago as a dot with a flick upwards. It is called the radical, and always makes math look important!

12. You can use it like this: you would say "square root of 9 equals 3" Example: What is √25? Well, we just happen to know that 25 = 5 × 5, so if you multiply 5 by itself (5 × 5) you will get 25. So the answer is: √25 = 5

13. The perfect squares are the squares of the whole numbers: 123456789 Perfect square 149162536496481 Some perfect square :-

14. Calculating Square Roots It is easy to work out the square root of a perfect square, but it is really hard to work out other square roots. Finding square roots of numbers that aren't perfect squares without a calculator 1. Estimate - first, get as close as you can by finding two perfect square roots your number is between. 2. Divide - divide your number by one of those square roots. 3. Average - take the average of the result of step 2 and the root. 4. Use the result of step 3 to repeat steps 2 and 3 until you have a number that is accurate enough for you.

15. Example: Calculate the square root of 10 (√10) to 2 decimal places: 1. Find the two perfect square numbers it lies between. 3 2 = 9 and 4 2 = 16, so √10 lies b/n 3& 4 2. Divide 10 by 3. 10/3 = 3.33 (you can round off your answer) 3. Average 3.33 and 3. (3.33 + 3)/2 = 3.1667 Repeat step 2: 10/3.1667 = 3.1579 Repeat step 3: Average 3.1579 and 3.1667. (3.1579 + 3.1667)/2 = 3.1623 Try the answer --> Is 3.1623 squared equal to 10? 3.1623 x 3.1623 = 10.0001 If this is accurate enough for you, you can stop! Otherwise, you can repeat steps 2 and 3. If this is accurate enough for you, you can stop! Otherwise, you can repeat steps 2 and 3.