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Write the possible unit’s digits of the square root of the following numbers. Which of these numbers are odd square roots?
(i) 9801
(ii) 99856
(iii) 998001
(iv) 657666025.
To find:
We have to write the possible unit’s digits of the square roots of the given numbers and state if they are odd square roots.
Solution:
(i) The units digit of 9801 is 1.
Therefore,
The units digit of the square root can be 1 or 9. The square root of the given number is odd.
(ii) The units digit of 99856 is 6.
Therefore,
The units digit of the square root can be 4 or 6. The square root of the given number is even.
(iii) The units digit of 998001 is 1.
Therefore,
The units digit of the square root can be 1 or 9. The square root of the given number is odd.
(iv) The units digit of 657666025 is 5.
Therefore,
The units digit of the square root is 5. The square root of the given number is odd.
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