write the cubes of three natural numbers which are multiples of 5 verify that all such cubes are multiples of 125
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Answer:
(3)
3
=3×3×3=27
(6)
3
=6×6×6=216
(9)
3
=9×9×9=729
(12)
3
=12×12×12=1728
(15)
3
=15×15×15=3375
Verification:
(3)
3
=27=27×1
(6)
3
=216=27×8
(9)
3
=729=27×27
(12)
3
=1729=27×64
(15)
3
=3375=27×125
∴ 'The cube of natural number, which is a multiple of 3 is a multiple of 27'.
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