& Find the smallest number by which each of the following numbers must be multiplied to
obtain a perfect cube. Ako find the cube root of the number so obtained
a) 1024
b) 6561
c1125
)3456
e) 16384
675
g) 9000
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Answer:
In arithmetic and algebra, the cube of a number n is its third power: the result of the number multiplied by itself twice:
n3 = n × n × n.
It is also the number multiplied by its square:
n3 = n × n2.
This is also the volume formula for a geometric cube with sides of length n, giving rise to the name. The inverse operation of finding a number whose cube is n is called extracting the cube root of n. It determines the side of the cube of a given volume. It is also n raised to the one-third power.
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