Which Is The Least Possible Value Of A For Which 90×Ais A Perfect Cube
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Answer: 90=9×10=3×3×2×5=3²×2¹×5¹
Thus, the least possible value of A will be X<A i.e make the triplets of the factors of 90 then we get
3×3×3×2×2×2×5×5×5=3³×5³×2³
Now, the least value of A will be,
=[{( 3³/3²)(5³/5)(2³/2)}]
=3(5²)(2²)
=3×5²×2²
=3×25×4
=10²(3)
=300
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