Question

What could be the possible ‘one’ s’ digit of the square root of each of the following numbers?

i) 9801
ii) 99856
iii)998001
iv) 657666025

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Answer 1

Answer:

i) 1,9

ii) 4,6

iii) 1,9

iv) 5

Step-by-step explanation:

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Answer 2

Answer:

1

2

=1 and 9

2

=81

Since the last digit of 9801 is 1, the possible one's digit of it's square root can be 1 or 9.

(ii) 99856

Observe that the numbers ending with 4 and 6 are the only numbers whose square numbers end with 6

4

2

=16 and 6

2

=36

Since the last digit of 99856 is 6, the possible one's digit of it's square root can be 4 or 6.

(iii) 998001

Observe that the numbers ending with 1 and 9 are the only numbers whose square numbers end with 1

1

2

=1 and 9

2

=81

Since the last digit of 998001 is 1, the possible one's digit of it's square root can be 1 or 9.

(iv) 657666025

Observe that the numbers ending with 5 are the only numbers whose square numbers end with 25

5

2

=25

Since the last two digits of 657666025 are 25, the possible one's digit of it's square root can be 5.

Step-by-step explanation:

The possible digit at one's place of the square root of: (i) 9801 can be 1 or 9. (ii) 99856 can be 4 or 6. (iv) 657666025 can be 5