Question

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

Answer 1

We know that √27 = √3*3*3 
so, It should be multiplied by √3

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

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