Question

By what least number should the given number be divided to get a perfect square? Also find the square root of the new number.
A)4851
B)3380

Answer 1

SOLUTION :



A) 4851

( INSERT THE LCM TABLE OF 4851 )

4851 = under root (3x3)x(7x7)x11

( here, the numbers which are in a bracket *together* are considered as just one for example (2x2) so, when they’ll be out of that bracket it will be considered as just a 2 and this was just an explanation so, do not write this in your notebook )

Here, 11 does not form a group of two.
Therefore, 11 is the least number by which 4851 should be divided on order to get a perfect square.

Hence, the perfect square
= 4851 divided by 11
= 441 ✅


-


B) 3380

( INSERT THE LCM TABLE OF 3380 )

3380 = under root (2x2)x5x(13x13)

( here, the numbers which are in a bracket *together* are considered as just one for example (2x2) so, when they’ll be out of that bracket it will be considered as just a 2 and this was just an explanation so, do not write this in your notebook )

Here, 5 does not form a group of two.
Therefore, 5 is the least number by which 3380 should be divided on order to get a perfect square.

Hence, the perfect square
= 3380 divided by 5
= 676 ✅








I’m happy to help you, hope you would find it useful too. Have a nice day mate!

Answer 2

Given :-

The number = 4851

To find :-

By what least number should 4851 be divided to get a perfect square number ? Also find the square root of the square number so obtained ?

Solution :-

Given number = 4851

It can be written as

4851 = 3×1617

4851 = 3×3×539

4851 = 3×3×7×77

4851 = 3×3×7×7×11

4851 = (3×3)×(7×7)×11

It is clear that We should divide the given number by 11 then we get a perfect square number.

4851/11 = 441

441 = 21×21

=> 441 = 21²

=> √441 = √(21²)

=> √441 = 21

Answer:-

The least number should 4851 be divided to get a perfect square number = 11

The square root of the obtained perfect square number is 21

Used Method :-

→ Prime Factorization Method