Question

What could be the possible ‘one’ s’ digit of the square root of each of the following numbers?

i) 9801
ii) 99856
iii)998001
iv) 657666025

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Answer 1

Answer:

1 and 9.

Explanation:

Since 12 and 92 give 1 at unit’s place, so these are the possible values of unit digit of the square root.

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Answer 2

Answer:

(i) If the number ends with 1, then the one’s digit of the square root of that number may be 1 or 9. Therefore, one’s digit of the square root of 9801 is either 1 or 9.

(ii) If the number ends with 6, then the one’s digit of the square root of that number may be 4 or 6. Therefore, one’s digit of the square root of 99856 is either 4 or 6.

(iii) If the number ends with 1, then the one’s digit of the square root of that number may be 1 or 9. Therefore, one’s digit of the square root of 998001 is either 1 or 9.

(iv) If the number ends with 5, then the one’s digit of the square root of that number will be 5. Therefore, the one’s digit of the square root of 657666025 is 5.

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