Question

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​

Answer 1

Answer:

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