Smallest 79434

Find the smallest natural x such that 2x is the square and 3x is the third power of a natural number.

Correct answer:

x =  72

Step-by-step explanation:

2x=y2 3x=z3  x=23 32=72  2x = 2 23   32 = 24 32 = (22 32)2 = 122 3x = 3 23   32 = 23 33 = (2 3)3 = 63  y=2 x=2 72=12 z=33 x=33 72=6



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