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Answer :

Let the number of rows and columns be x each.

So,the total number of plants =\( x \times x = x^2\)

So we can have, \(x^2 = 1000\)

\(\Rightarrow x = \sqrt{1000}\)

\(\qquad \begin{array}{c|lcr}
&31\\
\hline
3 &\;\; \;\bar{10}\bar{00}\\
&\;-9\\
\hline
61 &\;\;\; \;\;100\\
&\;\;\;\;\;61\\
\hline
&\;\;\;\;\;39\\
\hline
\end{array}
\)

We got the remainder as 39. This says that the square of 31 is less than 1000.So, the next number is 32 and \(32^2 = 1024\)

Hence the number to be added = 1024 – 1000 = 24

Thus, the minimum number of plants required by him = 24.

- 1.Find the square root of each of the following numbers by Long Division method. (i) 2304 (ii) 4489 (iii) 3481 (iv) 529 (v) 3249 (vi) 1369 (vii) 5776 (viii) 7921 (ix) 576 (x) 1024 (xi) 3136 (xii) 900
- 2.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
- 3.Find the square root of the following decimal numbers. (i) 2.56 (ii) 7.29 (iii) 51.84 (iv) 42.25 (v) 31.36
- 4.Find the least number which must be subtracted from each of the following numbers so as to get a perfect square. Also find the square root of the perfect square so obtained. (i) 402 (ii) 1989 (iii) 3250 (iv) 825 (v) 4000
- 5.Find the least number which must be added to each of the following numbers so as to get a perfect square. Also, find the square root of the perfect square so obtained. (i) 525 (ii) 1750 (iii) 252 (iv) 1825 (v) 6412
- 6.Find the length of the side of a square whose area is \(441 m^2\)
- 7.In a right triangle ABC, ∠B =\( 90^{\circ}\). (a) If AB = 6 cm, BC = 8 cm, find AC (b) If AC = 13 cm, BC = 5 cm, find AB
- 9.There are 500 children in a school. For a P.T. drill, they have to stand in such a manner that the number of rows is equal to the number of columns. How many children would be left out in this arrangement?

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