Question

show that 392 is not a perfect cube?

Answer 1

Answer:

hyyy mate

here is your answer

Step-by-step explanation:

therefore , 392 is not a perfect cube . to make its a cube , we need one more 7. in that case 392 ×7 = 2× 2×2 ×7 ×7×7 = 2744 which is a perfect cube . Hence the smallest natural 392 should be multiplied to make a perfect cube is 7

hope its help for you.

make me brainliest.

Answer 2

Resolving392intoprimefactors,weget

2 | 392

_______

2 | 196

_______

2 | 98

_______

7 | 49

_______

**** 7

392 = 2 × 2 × 2 × 7 × 7

The Prime factor 7 doesn't appear in a groupof three factors.

So, 392 is not a perfect cube .

Hence, the smallest number by which it is be multiplied to make it a perfect cube is 7.

Now,

392 × 7 = 2 × 2 × 2 × 7 × 7 × 7

2³×7³

(2×7)³

14³