Squares & Roots

 

·       Square numbers

 

                        

 

 

To square a number, multiply it by itself.

 

 

1² = 1 x 1 = 1

 

5² =5 x 5 = 25

 

          First 50 squares

x	x2	x	x2
1	1	26	676
2	4	27	729
3	9	28	784
4	16	29	841
5	25	30	900
6	36	31	961
7	49	32	1024
8	64	33	1089
9	81	34	1156
10	100	35	1225
11	121	36	1296
12	144	37	1369
13	169	38	1444
14	196	39	1521
15	225	40	1600
16	256	41	1681
17	289	42	1764
18	324	43	1849
19	361	44	1936
20	400	45	2025
21	441	46	2116
22	484	47	2209
23	529	48	2304
24	576	49	2401
25	625	50	2500

 

 

Squaring a number is called raising it to the power of 2.

 

Examples of Other powers

 

Power	Example
3  ( cubic nos)	23 = 2 x 2 x 2 = 8
4	54 = 5 x 5 x 5 x 5 = 25 x 25 = 625
5	35 = 3x3x3x3x3 = 9x9x3= 81x3 = 243
6	26 = 2x2x2x2x2x2 = 8x8 = 64
10	210 = 2x2x2x2x2x2x2x2x2x2       = 8x8x8x2= 64x16=1024
15	215 =  2x2x2x2x2x2x2x2x2x2x2x2x2x2x2  = 8x8x8x8x8 = 64x64x8 = 32768

 

 

 

 

·       Square roots

 

The  root of  a square is what you need to be able to make that square.

 

 

 

          

 

 

 

The square root, multiplied by itself, makes the original number.

 

The special symbol is √

 

 

 

 

First 25 square roots

x	√x
1	1
4	2
9	3
16	4
25	5
36	6
49	7
64	8
81	9
100	10
121	11
144	12
169	13
196	14
225	15
256	16
289	17
324	18
361	19
400	20
441	21
484	22
529	23
576	24
625	25

                 

                            Symbols for other roots