Question

find  a smallest number by which  8788 must be multiplied to  get a perfect  cube

Answer 1

Hi ,

Cube of a number :
_______________

For a given number x we define cube

of x = x × x × x , denoted by x^3.

A given Natural number is a perfect

Cube if it can be expressed as the

product of triplets of equal factors.

Now ,

Write given number as product of

prime .

8788 = 2 × 4394

= 2 × 2 × 2197

= 2 × 2 × 13 × 169

= 2 × 2 × 13 × 13 × 13

= 2 × 2 × ( 13 × 13 × 13 )

Here we have only triplet of equal

factors i.e 13

To make 8788 into perfect Cube we

have multiply with 2.

Now ,

2 × 8788 = ( 2 × 2 × 2 ) × ( 13 × 13 × 13 )


17576 = ( 2 × 13 )^3 = ( 26 )^3 perfect

Cube

I hope this will useful to you.

****

Answer 2

Answer:

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is

the

answer

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Step-by-step explanation:

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