Find the number of digits in the square root of each of the following numbers (without any calculation)? 64 144 4489 27225 390625
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Answered by
39
√64 = 8
√144 = 12
√4488 = 69
√27225 = 165
√390625 = 625
√144 = 12
√4488 = 69
√27225 = 165
√390625 = 625
Answered by
1
Answer:
(i) Here, 64 contains two digits which is even.
Therefore, number of digits in square root =
2
n
=
2
2
=1
(ii) Here, 144 contains three digits which is odd.
Therefore, number of digits in square root = \
2
n+1
=
2
3+1
=
2
4
=2
(iii) Here, 4489 contains four digits which is even.
Therefore, number of digits in square root = \
2
n
=
2
4
=2
(iv) Here, 27225 contains five digits which is odd.
Therefore, number of digits in square root = \
2
n
=
2
5+1
=3
(v) Here, 390625 contains six digits which is even.
Therefore, number of digits in square root = \
2
n
=
2
6
=3
Step-by-step explanation:
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