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Question

Write the square roots of each of the following numbers:

(1) 9
(2) 25
(3) 100
(4) 196
(5) 324
(6) 576

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Solution

(1) 9
We know that 32 = 9 and (− 3)2 = 9
Therefore, we can say that the square roots of 9 are 3 and −3

(2) 25
We know that 52 = 25 and (− 5)2 = 25
Therefore, we can say that the square roots of 25 are 5 and −5

(3) 100
We know that 102 = 100 and (− 10)2 = 100
Therefore, we can say that the square roots of 100 are 10 and −10

(4) 196
We know that 142 = 196 and (− 14)2 = 196
Therefore, we can say that the square roots of 196 are 14 and −14

(5) 324
We know that 182 = 324 and (− 18)2 = 324
Therefore, we can say that the square roots of 324 are 18 and −18

(6) 576
We know that 242 = 576 and (− 24)2 = 576
Therefore, we can say that the square roots of 576 are 24 and −24

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