Question

HEY FRNDS !!

As √18 can be expressed as 3√2 or √20 as 2√5

Can √89 be expressed as above or not ??

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Answer 1

Prime factorisation of 18 is 2×3×3
So, it is expressed as 3√2

And, Prime factorisation of 20 is 2×2×5
So,it is expressed as 2√5

But 89 is prime number, it's prime factorisation of 89 is 1 × 89

So, it is expressed as √89

Answer 2

Hi there !

Here the prime factorization of 89 is :-

89 = 89 x 1

As it is doesn't have common factors , √89 is expressed as √89 itself.

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But on the other hand , 

Prime factorization of 20 = 2 x 5 x 2

Here 2 is common ( common means , 2 is there as a pair )

Hence , the no: that is common is taken outside the root ,

20 = 2√5

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