Question

by which smallest no 4400 be multiplied to make it a perfect cube​

Answer 1

Answer:

we will first facterise 4400

Step-by-step explanation:

2|4400

2|2200

2|1100

2|550

5|275

5|55

11|11

| 1

2×2×5=20

the sum should be multiplied by 11 to make a perfect square

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Answer 2

Given:

Number 4400

To find:

The smallest number that can be multiplied with 4400 to make it a perfect cube.

Solution:

The factors of 4400 are given as:

$4400 = 2*2*2*2*5*5*11$

Here, one set of 2³ is present. We have one 2 remaining. If we multiply it with 2², we can get another set of 2³. Also, we have 5² which on multiplying with a 5 can give 5³. When 11 is multiplied with 11², we get 11³.

So, multiplying 2², 5, 11² on the RHS, we multiply the same on LHS.

$4400*2*2*5*11*11=2*2*2*2*2*2*5*5*5*11*11*11$

So, $2*2*5*11*11=2420$

Hence, 4400 should be multiplied with 2420 to make it a perfect cube of 10648000.

The smallest number 4400 can be multiplied to make it a perfect cube is 2420.