Question

Find the least number by which the following number should be multiplied to make it a perfect cube .

(i) 5488

Please solve it with explanation please ​

Answer 1

Answer:

4

Step-by-step explanation:

Let the number multiplied be x

Then,

By Trial and Error Method,

1 × 5488 = 5488 (Not a Perfect cube)

2 × 5488 = 10,976 (Not a Perfect cube)

3 × 5488 = 16,464 (Not a Perfect cube)

4 × 5488 = 21,952 ( Perfect cube)

Now, Cube root 21,952 = 28

Hope, this helped. plz mark this as brainlliest as i tried for few mins.

Answer 2

Answer:

First we have to factorize the given no

5488 = 2 * 2744

= 2*2*1372

= 2 * 2 * 2 * 2 *7 * 7 * 7

= 7^3 * 2^3 * 2

Here the no to become perfect cube last

2 must have power 3

And for this we have to multiply it by 2^2 = 4

So, the least no is 4