Question

The smallest by which √27 should be multiplied so as to get rational number is

Answer 1

=3√3. Now, if we multiply 3√3 by √3,then we get a rational numbers 9 which is a perfect square. Hope this answer satisfied you

Answer 2

Answer:

Smallest rationalising factor = √3

Step-by-step explanation:

$Given \: number \: \sqrt{27} Simplest \: form \: of \: \sqrt{27}\\ = \sqrt{3 \times 3 \times 3 }\\=3\sqrt{3} Now,\\ Rational \: Factor \: of \: \sqrt{27} \: is \: \sqrt{3} \sqrt{27}\times \sqrt{3}\\ = 3\sqrt{3} \times \sqrt{3}\\=3 \times 3 \\= 9 \: ( Rational \: number )$

Therefore,

Smallest rationalising factor = √3