Book: NCERT - Mathematics
Chapter: 6. Squares and Square Roots
Subject: Maths - Class 8th
Q. No. 1 of Exercises 6.3
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What could be the possible ‘one’s’ digits of the square root of each of the followingnumbers?
(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. Hence, 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. Hence, 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. Hence, 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. Hence, the one's digit of the square root of 657666025 is 5