Question

*Which of the given is a rationalising factor of √12 ?* 1️⃣ √2 2️⃣ √3 3️⃣ √4 4️⃣ √6​

Answer 1

Answer:

The smallest rationalising factor is √3 which is smaller than 2. √12=√(4*3)=√4 * √3=2√3.

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Step-by-step explanation:

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Answer 2

Answer:

The rationalising factor of √12 is √3

Step-by-step explanation:

Given number is √12.

We want to find rationalising factor of √12.

But how can we find rationalising factor?

By one example we can understand this concept.

Rationalising factor is a expression which is multiplied by irrational expression to obtain a rational number.

For example we are taking a number,

$\sqrt{8}$

By prime factorisation,

$8 = 2 \times 2 \times 2$

So,

$\sqrt{8} = \sqrt{2 \times 2 \times2 } \\ = 2 \sqrt{2}$

Here rationalising factor of √8 is √2 because if we multiply √8 by √2 then √8 will become rational number.

Here given,

$\sqrt{12}$

By prime factorisation,

$12 = 2 \times 2 \times 3$

So,

$\sqrt{12} \\ = \sqrt{2 \times 2 \times 3 } \\ = 2 \sqrt{3}$

Therefore rationalising factor of 2√3 is √3 because if we multiply √12 by √3 then √12 will become rational number.

Know more about rational numbers,

https://brainly.in/question/16532538

https://brainly.in/question/38980520

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