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Q.

The square root of each of the 5184 is:

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a

72

b

62

c

74

d

82

answer is A.

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Detailed Solution

Concept- Describe how the given number is divided into prime factors. After that, we'll create pairs with the same number. To find the square root of the given integer, we will take one number from each pair and multiply it.
The number's prime factors will be written first.
Question Image

Question Image

Thus, 5184 can be written as

5184 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 3 \times 3

\sqrt{2184} = \sqrt{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 3 \times 3}

2 \times 2 \times 2 \times 3 \times 3 = 72

Hence, the correct answer is option 1) 72.

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