3. How many digits are there in the (42DB)16? a. 6 b. 3 C. 4 d. 5
Answers
Solution:
If the number of digits of a number is even, then its square root will have half (whole number) of the number of digits.
If the number of digits of a number are odd, then its square root will have half (nearest greater whole number) of the number of digits.
i)
64
The number of digits is 2 i.e. even.
Therefore, there is only 1 digit in the square root of 64.
ii)
144
The number of digits is 3 i.e. odd.
Therefore, there are (1.5 =) 2 digits in the square root of 144.
iii)
4489
The number of digits is 4 i.e. even.
Therefore, there are 2 digits in the square root of 4489.
iv)
27225
The number of digits is 5 i.e. odd.
Therefore, there are (2.5=) 3 digits in the square root of 27225.
v)
390625
The number of digits is 6 i.e. even.
Therefore, there are 3 digits in the square root of
Answer:
correct answer is d. 5 digits