find the smallest number by which 7776 is to be divided to get a perfect square
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Answer:
Step-by-step explanation:
Express 7776 as product of prime factors.
2 | 7776
2 | 3888
2 | 1944
2 | 972
2 | 486
3 | 243
3 | 81
3 | 27
3 | 9
• | 3
•°• 7776= 2²*2²*2*3²*3²*3
Here 2 and 3 are not squared.
so divide by 6(i.e., 2*3) to get a perfect square
°•°Required least no.= 6
verification:
7776/6= 1296 which is a perfect square.
1296= 36²
;)
Hope it helps
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