Question

What is the smallest number that must divide 5400 to make it a

perfect square?​

Answer 1

Answer:

25

Step-by-step explanation:

(5×5=25)

make branlist

Answer 2

Answer:

$\bold\pink{Question}$

What is the smallest number that must divide 5400 to make it a perfect square.

$\bold\pink{Given}$

A number : 5400

$\bold\pink{To\:Find}$

The smallest number that must be divided by 5400 to make it a perfect square.

$\bold\pink{Solution}$

So to find the smallest number we need to prime factorise 5400

2| 5400

2| 2700

2| 1350

3| 675

3| 225

3| 75

5| 25

5| 5

⠀ 1

•°• 5400 = 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5

Now taking out two pairs we get

= 5400 = 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5

The bold one are the smallest numbers

•°• 3 × 2 = 6

•°• 6 is the smallest number that must divide 5400 to make it a perfect square.