Question

Q.3) What is the smallest number by which 392 may be divided so that the quotient is a perfect cube? Also, find the cube root of this quotient. (4 marks)​

Answer 1

Step-by-step explanation:

In that case 392 × 7 = 2 × 2 × 2 × 7 × 7 × 7 = 2744 which is a perfect cube. Hence the smallest natural number by which 392 should be multiplied to make a perfect cube is 7.

Answer 2

Answer:

at first consider , ³√392.

then , ³√ 2×2×2×7×7 ( by prime factorisation)

Now , 2³√7²

hence two 7 must be reduced to the group make a perfect group .....

so 7×7 i.e. 49 is the required number.....

_______________________________________

hence , 392/49 = 8 and cube root of 8 = 2...