Question

find the rationalising factor of 6√27​

Answer 1

Answer:The answer is √27

Step-by-step explanation:

When you have such numbers just write the number which is next to a rational number... For example...

The rationalizing number of 8√51 is √51

23√79 is √79

Hope it helps you...

Answer 2

Step-by-step explanation:

It's quite simple look here :-

First of all factorise 27 by prime factorisation method:-

You will get 6√27 = 6√3 × 3 × 3

Now, take out 3 from √ leaving a single 3 inside √

6×3√3

= 18√3

Now, the rationalising factor is the factor required to take out a number from the √ or the one that rationalize the √3 in this case.

So, as you know, the number required to take out √3 from √ is √3 itself.

18√3 × √3

= 18√3^2

= 18 × 3

= 54

So, the number that completely rationalize 6√27 is √3.

Therefore, √3 is the rationalising factor of 6√27.

Hope it helps :)