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**dollysaunder****Member**- Registered: 2005-08-06
- Posts: 3

Sophie wrote:

Help me please! i really need help! I alwats forget what square route is! and next year i'm going into Year 7 so i think that I really should know! please help me with a good strategy! If you don't have a strategy please tell me what it is! i just got retold last week! i have a horrible memory sometimes!

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,631

Are YOU asking, dollysaunder?

Anyway, square root is just the opposite of square.

To square a number is to multiply it by itself. The square of 5 is 5x5=25, so the **square root** of 25 is 5.

5 Squared ==> 25

5 <== Square Root 25

So, for example: what is the square root of 36 ???

*thinks* 6 x 6 = 36. (6 squared is 36)

Answer: the square root of 36 is 6

And if that fails then think of a square:

RRRR

RRRR

RRRR

RRRR

That square has 16 Rs in it, and it is 4 Rs wide by 4 Rs high.

So, 4 **squared** is 16.

And the **square root** of 16 is 4.

What is the square root of 81 ???

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman

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**wcy****Member**- Registered: 2005-08-04
- Posts: 117

here are some tips to remember square root of large numbers..

you can break up the square root into two or more parts, eg

√36=√4 x √9 =2x3=6

that way, you need to remember less values

but this can only work for some numbers

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 22,059

Here are the squares and square roots of all squares up to 31.

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

8² = 64

9² = 81

10² = 100

11² = 121

12² = 144

13² = 169

14² = 256

15² = 225

16² = 256

17² = 289

18² = 324

19² = 361

20² = 400

21² = 441

22² = 484

23² = 529

24² = 576

25² = 625

26² = 676

27² = 729

28² = 784

29² = 841

30² = 900

31² = 961

Remember,

(1) The last digit of a perfect square is always 0, 1, 5, or 6.

(2) Finding square roots is easier by prime factorisation.

eg. 784 = 2 x 2 x 2 x 7 x 7 x 7

Therefore, the square root of 784 is 2 x 2 x 7, i.e. 28

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**John E. Franklin****Guest**

To help jog your memory, visualize a tree with roots under the ground.

The roots are below the tree, so remember that the answer to a square root problem is usually smaller (roots below).

The square root of any number above one is going to be smaller than what you started with.

However, if you become a math wiz someday, you will learn that the square root of numbers between zero and one become bigger!

Good Luck!

**aliya whyte****Guest**

dollysaunder wrote:

Sophie wrote:Help me please! i really need help! I alwats forget what square route is! and next year i'm going into Year11so i think that I really should know! please help me with a good strategy! If you don't have a strategy please tell me what it is! i just got retold last week! i have a horrible memory sometimes!

:( :(:( i neeed help with double digit and all the rest digit number. love aliya.