write down the number of digits in the squad root of the following 320356
Answers
Step-by-step explanation:
566² is the square root of 320356
Answer:
Find the number of digits in the square root of each of the following numbers (without any calculation):
(i) 64
(ii) 144
(iii) 4489
(iv) 27225
(v) 390625
Solution:
(i) Here, 64 contains two digits which is even.
Therefore, number of digits in square root = \frac{n}{2}=\frac{2}{2}=1
2
n
=
2
2
=1
(ii) Here, 144 contains three digits which is odd.
Therefore, number of digits in square root = \frac{n+1}{2}=\frac{3+1}{2}=\frac{4}{2}=2
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 = \frac{n}{2}=\frac{4}{2}=2
2
n
=
2
4
=2
(iv) Here, 27225 contains five digits which is odd.
Therefore, number of digits in square root = \frac{n}{2}=\frac{5+1}{2}=3
2
n
=
2
5+1
=3
(v) Here, 390625 contains six digits which is even.
Therefore, number of digits in square root = \frac{n}{2}=\frac{6}{2}=3
2
n
=
2
6
=3