Question

Q15. Find the smallest number by
which 192 must be divided to make it
aperfect cube. 1928 धुळपटपटाहट
ਲਈ ਕਿਹੜੀ ਛੋਟੀ ਤੋਂ ਛੋਟੀ ਸੰਖਿਆ ਨਾਲ ਭਾਗ ਕੀਤਾ
नाहे.।। सबसे छोटी संख्या ज्ञात करें जिसके द्वारा
192 को एक पूर्ण घन बनाने के लिए विभाजित
किया जाए।*
2
3
OOOO
6​

Answer 1

Answer:

we can get the I don't have

Answer 2

AnSwEr

3

GiVeN

Number = 192

To FiNd

The smallest number to be divided to 192 to make it a perfect square.

SoLuTiOn

$192 = 2×2×2 × 2×2×2 ×3$

$192 = {2}^{3} \times {2}^{3} \times 3$

Here,the prime factors 3 is not present as triples.

Hence, we divide 192 by 3, so that the obtained number becomes a perfect cube.

$92 \div 3 = 64 = {2}^{3} \times {2}^{3} \times {4}^{3}$

Hence the smallest number by which 192 should be divided to make a perfect cube is 3.