What could be the
possible ‘one’s’ digits of the square root of each
of the following numbers?
(i) 9801 (ii) 99856
(iii) 998001 (iv) 657666025
What could be the possible ‘one’s’ digits of the square root of each of the following numbers?
(i) 9801 (ii) 99856
(iii) 998001 (iv) 657666025
(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.
(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.
