Do as directed
a) Show that 972 is not a perfect cube
b) Find the smallest number by which 7875 must be
divided so that the resulting number is a perfect cube
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Answer:
a) ³√972 = ³√2c2x3x3x3x3x3
= 3³√36
972 is not a perfect cube
b) we must prime factorization 7875
= 3 x 3 x 5 x 5 x 5 x 7
the number must be divided 3 x 3 x 7 = 63
now cube root = 5 x 5 x 5 = 125
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