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Standard VIII
Mathematics
Cube Root Using Prime Factorisation
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Question
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Which of the following numbers is a perfect cube?
(a) 121
(b) 169
(c) 196
(d) 216
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Solution
(d) 216
121
=
11
×
11
169
=
13
×
13
196
=
7
×
7
×
2
×
2
216 =
2
×
2
×
2
×
3
×
3
×
3
=
2
3
×
3
3
=
6
3
216 = 6
3
Hence, 216 is a perfect cube.
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