Question

if the number of digits or even in the given number the number of digits in the square root of the number is​

Answer 1

Number Square root Number of digits in square root

Number Square root Number of digits in square root144 12 2

Number Square root Number of digits in square root144 12 2169 13 2

Number Square root Number of digits in square root144 12 2169 13 2441 21 2

Number Square root Number of digits in square root144 12 2169 13 2441 21 26084 78 2

Answer 2

Step-by-step explanation:

ANSWER

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 390625.

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