find the ratio of 24 to 96
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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
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