Question

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

Answer 1

√3 is the correct answer

Answer 2

Answer:

The smallest number by which √27 should be multiplied so as to get a rational number is √3.

Step-by-step explanation:

Given,

The irrational number is √27

To find,

The smallest number that should be multiplied to √27 to get a rational number.

Calculation,

Rational number:

The number that can be represented in the form of p/q is known as a rational number.

Now as √27 can be written as:

√27 = √3 × √3 × √3

Now to get a rational number we need to multiply √3 to √27 so that we get a rational number.

i.e. √3 × √27 = √81 = 9

Hence, 9 is a rational number.

Therefore, the smallest number by which √27 should be multiplied so as to get a rational number is √3.

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