Question

Find the smallest number by which root 27 should be multiplied to get a rational number

Answer 1

Step-by-step explanation:

Given Number is √27

Since we know that,

$\sqrt{27}\\ =\sqrt{3*3*3}\\ =3\sqrt{3}$

Now, rationalizing factor of √27 is √3

∴√27 × √3

=3√3 × √3

=9, which is a rational number.

∴Smallest rationalizing factor is √3 by which√27 should be multiplied to get a rational number.  

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