Given that the number of rows is equal to the number of columns. i.e., in the form of
So the number of students that can stand in this order will be the perfect square number just less than 500.
We know that and
So the number of students that would be left out in this arrangement = 500 - 484 = 16 students.

It is given that the number of rows and the number of columns are the same.
Let a number of rows or number of columns be x.
The number of plants required =
The gardener has 1000 plants.
We need to find a perfect square just greater than 1000.
We know, and
So the minimum plants needed by gardener = 1024 - 1000 = 24 plants.

Let the length of the side of a square be x m.
Area of square =
So equation becomes :
By prime factorisation of 441.
441 =
Thus x = 21.
So the length of the side of square = 21 m.

(i) 525:- It is clearly visible that if we add 4 to the given number, the remainder will become zero.
So obtained number is 529 and its square root is 23.(ii) 1750:- It is clearly visible that if we add 14 to the given number, the remainder will become zero.
So the obtained number is 1764 and its square root is 42.
(iii) 252:- It is clearly visible...

(i) 402 :- It can be seen that 2 is remainder. So we will subtract 2 from 402.
The required number is 400 and its square root is 20. (ii) 1989 :- It can be seen that 53 is remainder here. So we will subtract 53 from 1989 in order to make it a perfect square.
The required number is 1936 and its square root is 44. ...

The detailed solution for the given questions as follows
(i) Square root of 2.56 using division method (ii) Square root of 7.29 using division method (iii) Square root of 51.84 using division method (iv) Square root of 42.25 using division method ...

(i) 64:- The number of digits in the square root will be
(ii) 144:- The number of digits in the square root will be
(iii) 4489:- The number of digits in the square root will be
(iv) 27225:- The number of digits in the square root will be
(v) 390625:- The...

The detailed solution for the above-written question is as follows
The square root of 900 is 30.

The detailed solution for the above-written question is as follows,
The square root of 3136 is 56.

The detailed solution for the above-written question is as follows,
The square root of 1024 is 32.

The detailed solution for the above-written question is as follows,
The square root of 576 is 24.

The detailed solution for the above-written question is as follows,
The square root of 7921 is 89.

The solution for the above-written question is as follows,
The square root of 5776 is 76.

The detailed solution for the above-written question is as follows,
The square root of 1369 is 37.

The detailed solution for the above-written question is as follows,
The square root of 3249 is 57.

The detailed solution for the above-written question is as follows
The square root of 529 is 23.

The detailed solution for the above-written question is as follows,
The square root of 3481 is obtained as 59.

The detailed solution for the above-written question is as follows
The square root of 4489 is 67.

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