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Grade 5 - Mathematics
1.24 Beginning Radicals

Square Root
In mÖa, m is the index or order, Ö is the radical or square root sign and a is the radicand.
a*a = a2 and (-a)*(-a) = a2. Here 'a' is called the square root of a2. Thus for a &-a are two square roots of a2. We denote square root with the symbol ' Ö '.

Example : What is the value of Ö25 ?
Solution : 25 = 5*5.
The square root of 25 is 5.
Number First root
1 1Ö1 = 1
2 1Ö2 = 2
3 1Ö3 = 3
4 1Ö4 = 4
5 1Ö5 = 5
6 1Ö6 = 6
10 1Ö10 = 10
200 1Ö200 = 200

Number Second Root Or Square Root
1 2Ö1 Ö1 =Ö1x1 = 1
4 2Ö4 Ö4 =Ö2x2 = 2
9 2Ö9 Ö9 = Ö3x3 = 3
16 2Ö16 Ö16 = Ö4x4 = 4
25 2Ö25 Ö25 = Ö5x5 = 5
36 2Ö36 Ö36 = Ö6x6 = 6
49 2Ö49 Ö49 =Ö7x7 = 7
64 2Ö64 Ö64 = Ö8x8 = 8
81 2Ö81 Ö81 = Ö9x9 = 9
100 2Ö100 Ö100 = Ö10x10 = 10

Number Third Root
1 3Ö1 = 1
8 3Ö8 = 2
27 3Ö27 = 3
64 3Ö64 = 4
125 3Ö125 = 5

Directions: Answer the following questions. Also write at least five more examples of your own for each root (first, second, and third root).
Q 1: square root of 16: Ö16
Answer:

Q 2: square root of 49: Ö49
Answer:

Q 3: third root of 1: 3Ö1
Answer:

Q 4: square root of 9: Ö9
Answer:

Question 5: This question is available to subscribers only!

 Question 6: This question is available to subscribers only!


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