Question

Which
following
expressions would
be true for an
integer greater
than 1, whose square
root and cube root
are integers a and b
respectively
A FEM
B. (aº)) = (b")
C. X is a perfect
square
Da is a perfect
square​

Answer 1

Answer:

Let the three integers be m−1,m,m+1

As given,

m−1+m2+(m+1)3=(m−1+m+m+1)2

m−1+m2+m3+1+3m2+3m=9m2

m3−5m2+4m=0

m(m2−5m+4)=0

m(m−1)(m−4)=0

m=0,1,4

m cannot be 0 o 1 else the smallest number will be either -1 or 0 which is not possible.

Hence, m=4

and smallest number then is 3

Thus correct answer is 1≤m≤3

Step-by-step explanation:

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