Question

5.A gardener has 5190 plants. He wants to plant in such a way that the number of rows and columns remains the same. Find the minimum number of plants left in this arrangement. [ Please step-by-step explanation.] (′⌒`)

Answer 1

$Number \: of \:plants \:are \: planted = 5190$

Finding Square root of 5190:

7 | 5190 | 72

×7| 49

__________

142 | 290

× 2 | 284

__________

********* (6)

The remainder is 6.

This means , if we subtract 6 from 5190 ,we get a perfect square.

Therefore.,

If Gardner wants to plant in such a way that the number of rows and columns remains the same.

Perfect square = 5190 - 6

= 5184

= 72² ( perfect square )

The minimum number of plants left in this arrangement is 6 .

•••♪

Answer 2

Step-by-step explanation:

Total number of plants= 5190

Let the no. of rows be= x

∴ The number of columns is= x

_________________________________________

x²= 5190

x= \sqrt{5190}5190

[ Now we have to find square root of 5190(long division method) which shown below.]

Since 6 is the reminder, 6 plants are left in this arrangement.

∴ The number of plants left out in this arrangement is= 6

HOPE IT HELPS