Question

Q. A gardener has 1000 plants. He wants to plant these in such a way that the numbe
of rows and the number of columns remain same. Find the minimum number
plants he needs more for this.​

Answer 1

Step-by-step explanation:

$\huge\star\huge{ \pink{\bold {\underline {\underline {\red {Answer}}}}}} \star$

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Answer 2

$\sf \purple{ \fbox{ \underline{★ Question :-}}}$

A gardener has 1000 plants. He wants to plant these in such a way that the number of rows and the number of columns remain same. Find the minimum number  plants he needs more for this.

$\sf \purple{ \fbox{ \underline{★Given :-}}}$

⇒ No. of plant gardener has = 1000 plants

$\sf \purple{ \fbox{ \underline{★To Find :-}}}$

⇒ The minimum number  of plants he needs to plant them in such a way that the no. of rows and the no. of columns remain same .

$\sf \purple{ \fbox{ \underline{★ Solution :-}}}$

⇒ Let the total no. of rows = x

   ∴ total no. of columns = x

⇒ Total Plants =  

No. of rows × No. of columns

→ 1000 = x × x

→ 1000 = x²

→ x = √1000

Now , we will find square root of 1000 (given in attachment )

→ We got the remainder = 39

Given that ,  He wants to plant these in such a way that the number

of rows and the number of columns remain same. Find the minimum number  plants he needs more for this.​

We need to find the least no. that must be added to 1000 to make it a perfect square

Now ,

31² < 1000 < 32²

Thus we add 32² - 1000 to the number

∴ Thus no. to add is

→ 32² - 1000

→ 1024 - 1000

→ 24 (Answer)

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