Question

Find the number of digits in the square root of each of the following numbers (without
any calculation)
(i) 64
(ü) 144
(iii) 4489
(iv) 27225
(v) 390625
64​

Answer 1

Given: The digits (i) 64  (ü) 144  (iii) 4489  (iv) 27225  (v) 390625

To find: The number of digits in the square root of each of the following numbers.

Solution:

• Now we know the formula for number of digits in the square root .

• If even terms in digits, then:

              n/2

• If odd terms in digits, then:

              n+1/2

• So taking the numbers now, we get:

               (i) 64  

              n = 2, so:

              2/2 = 1

              One digit in square root.

              (ü) 144

              n = 3, so:

              3+1/2 = 2

              Two digit in square root.

               (iii) 4489  

              n = 4, so:

              4/2 = 2

              Two digit in square root.

              (iv) 27225  

              n = 5, so:

              5+1/2 = 3

              Three digit in square root.

              (v) 390625

              n = 6, so:

              6/2 = 3

              Three digit in square root.

Answer:

              So the the number of digits in the square root of each of the following numbers is given in the solution part.

Answer 2

Step-by-step explanation:

(1). No. of digit in 64=n=2

since, n is even

:; Number of digit in square root=n/2

=2/2

=1