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Find the square root of 196 by listing its factors in ascending order.

A) 14
B) 20
C) 16
D) 18

1 Answer

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Final answer:

Option A. The square root of 196 is 14. The factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, and 196.

Step-by-step explanation:

To find the square root of 196, we need to list its factors in ascending order. The factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, and 196. Now, look for the factor pairs that multiply to give 196. We see that 14 x 14 = 196, so the square root of 196 is 14. Therefore, the correct answer is option A) 14.

To find the square root of 196, we list its factors in ascending order and identify the pair of identical factors, since a square root of a number is a value that, when multiplied by itself, gives the original number. The factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, and 196. Notice that 14 multiplied by itself (14 x 14) equals 196, so the square root of 196 is 14. Therefore, the correct answer is A) 14.

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