Question

Find the smallest number with which 243 must be multiplied to obtain a perfect cube also find cube root of the perfect cube number​

Answer 1

Answer:

3,9

Step-by-step explanation:

Answer 2

Answer:

Smallest number when multiplied with 243 to obtain a perfect cube is 3

The cube root of the new number is 9

Step-by-step explanation:

Prime factorisation of 243 gives

243 = 3 × 3 × 3 × 3 × 3

To make the number a perfect cube, we

need to get the prime factors grouped by 3.

= 3³ × 3².

Since the last group of 3 is only having 2 similar factors, we need an extra 3 to complete the group of 3

Thus the smallest number which should be multiplied 243 to get a perfect cube = 3.

243 × 3 = 729

$\sqrt[3]{729} = 9$