by what least number should the given number be divided to get a perfe

1.	by what least number should the given number be divided to get a perfect square numbe in each case, find the number whose square is the new number, 7776
Answer» Answer: Given 7776, Resolve 7776 into prime factors, we get 7776=2×2×2×2×2×3×3×3×3×3=(22×22×32×32×2×3) Now to get perfect square we have to DIVIDE the above equation by 2 x 3 Then we get, 7776/6=2×2×2×2×3×3×3×3 New number =(4×4×9×9) =(22×22×32×32) TAKING SQUARES as common from the above equation we get ∴ New number =(2×2×3×3)2 =(36)2 Hence, the new number is square of 36 hope this will HELPS you.. good day❣

by what least number should the given number be divided to get a perfect square numbe in each case, find the number whose square is the new number, 7776

Answer»

Answer:

Given 7776,

Resolve 7776 into prime factors, we get

7776=2×2×2×2×2×3×3×3×3×3=(22×22×32×32×2×3)

Now to get perfect square we have to DIVIDE the above equation by 2 x 3

Then we get, 7776/6=2×2×2×2×3×3×3×3

New number =(4×4×9×9)

=(22×22×32×32)

TAKING SQUARES as common from the above equation we get

∴ New number =(2×2×3×3)2

=(36)2

Hence, the new number is square of 36

hope this will HELPS you..

good day❣