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Step-by-step explanation:
first do prime factorisation of 7776 then you will get the factors then group three three same numbers the one group left unpair is answer
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Given, a number as 7776. We need to find out a number which if divided by the given number we should get a perfect square.
Step:1 Resolve 7776 into prime factors
7776=2×2×2×2×2×3×3×3×3×3
Step:2 By pairing the factors obtained
⇒7776=(2×2)×(2×2)×(3×3)×(3×3)×2×3
Step:3 Dividing the number woth the factor which are alone.
Here,2,3 are in pairs and 3,2 are alone.
⇒3×2=6
⇒7776/6=1296
Hence, 6 is the smallest number which is to be multiplied to the given number to get perfect square.
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