Question

what could be the possible ones digit of the square root of each of the following

1) 9801

2) 99856

3) 998001

4) 657666025​

Answer 1

Answer:

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1) 9801

Answer: 1 and 9.

Explanation: Since 1^2 and 9^2 give 1 at unit’s place, so these are the possible values of unit digit of the square root.

2) 99856

Answer: 4 and 6

Explanation: Since, 4^2 = 16 and 6^2 = 36, hence, 4 and 6 are possible digits

3) 998001

Answer: 1 and 9

4) 657666025

Answer: 5

Explanation: Since, 5^2 = 25, hence 5 is possible.

Answer 2

9801 ii) 99856 iii) 998001 iv) 657666025. Therefore,

one's digit of the square root of 9801 should equal 1 or 9.

We know that 62 = 36 & 42 = 16, both the squares have unit place 6.

Therefore, one's digit of the square root of 99856 is equal to 6 or 4.

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