9. Find the smallest number by which the following must be divided to make it a perfect cuve. Andeestimate the cube root of the perfect cube so obtained.(a) 725(b) 550(c) 1375(d) 1824
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b) 2|550
5|275
5|55
11|11
| 1
11×2 =22 must be divided by 550 to get a perfect cube
√550/22= √2×5×5×11/22
√25=5
cube root of √25 is 5
c) 5|1375
5|275
5|55
11|11
| 1
11×5=55 must be divided by 1375 to get a perfect cube.
√1375/55=√5×5×5×11/55
√25=5
the cube root of 25 is 5.
d) 2|1824
2|912
2|456
2|228
2|214
3|57
19|19
| 1
19×2×3=114 must be divided by 1824 to get a perfect cube.
√1824/114=√2×2×2×2×2×3×19
√16=4
cube root of 16 is 4
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