the smallest number by which 4851 must be multiplied so that the product become a perfect square
Answers
Answered by
3
★ Hey! ★
_____________________________________________________________________________________________
=> 4851 = 3 × 1617
= 3² × 539
= 3² × 7 × 77
= 3² × 7² × 11
= 3 × 3 × 7 × 7 × 11
_______________________________
★So 11 must be multiplied to 4851 to become a perfect square.
_____________________________________________________________________________________________
Regards :)
★ Cybary ★
★ Be Brainly ★
_____________________________________________________________________________________________
=> 4851 = 3 × 1617
= 3² × 539
= 3² × 7 × 77
= 3² × 7² × 11
= 3 × 3 × 7 × 7 × 11
_______________________________
★So 11 must be multiplied to 4851 to become a perfect square.
_____________________________________________________________________________________________
Regards :)
★ Cybary ★
★ Be Brainly ★
divya325:
why not
Answered by
0
let the number be x
as per question 4851x (resulting number) will be perfect square
when we break 4851 into it's factors then we'll get 3, 3, 7, 7, 11 every number is in pairs except 11 so when we take square root 11 remains in the root.
So if the resulting number is to be a square root then 4851 must be multiplied by 11
so that 11 will also be in pair, which will make the resulting number a perfect square.
Hence the required number is 11.
Hope this helps
as per question 4851x (resulting number) will be perfect square
when we break 4851 into it's factors then we'll get 3, 3, 7, 7, 11 every number is in pairs except 11 so when we take square root 11 remains in the root.
So if the resulting number is to be a square root then 4851 must be multiplied by 11
so that 11 will also be in pair, which will make the resulting number a perfect square.
Hence the required number is 11.
Hope this helps
Please ask if anything is not clear in answer.
Similar questions