Write the possible unit’s digits of the square root of the following

1.	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
Answer» (i) 9801 Unit digit = 1 Unit digit of square root = 1 or 9 As number is odd, square root is also odd (ii) 99856 Unit digit = 6 Unit digit of square root = 4 or 6 As number is even, square root is also even (iii) 998001 Unit digit = 1 Unit digit of square root = 1 or 9 As number is odd, square root is also odd (iv) 657666025 Unit digit = 5 Unit digit of square root = 5 As number is odd, square root is also odd

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

Answer»

(i) 9801

Unit digit = 1

Unit digit of square root = 1 or 9

As number is odd, square root is also odd

(ii) 99856

Unit digit = 6

Unit digit of square root = 4 or 6

As number is even, square root is also even

(iii) 998001

Unit digit = 1

Unit digit of square root = 1 or 9

As number is odd, square root is also odd

(iv) 657666025

Unit digit = 5

Unit digit of square root = 5

As number is odd, square root is also odd