Question

the rationalising factor of 1/root 3​

Answer 1

Answer:

Step-by-step explanation:

1 / root 3 × root 3

So The rationalising factor is root 3 / root 3 × root 3

That is root 3 / root 9

Root 9 = 3

So root 3 / 3

So root 3 / 3 is your rationalising factor

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Answer 2

Answer:

The rationalising factor of $\frac{1}{\sqrt{3} }$ is $\sqrt{3}$.

Step-by-step explanation:

Recall the definition of rationalising factor,

A number multiplied to an irrational number to make it rational number is called rationalising factor.

Mathematically,

$\frac{x}{\sqrt{y} }= \frac{x}{\sqrt{y} }$ × $\frac{\sqrt{y} }{\sqrt{y} }$

Here, $\sqrt{y}$ is a rationalising factor.

Consider the hypothesis as follows:

$\frac{1}{\sqrt{3} }$

Multiply and divide the fraction by $\sqrt{3}$ as follows:

$\frac{1}{\sqrt{3} }$ × $\frac{\sqrt{3} }{\sqrt{3} }$

Simplify as follows:

$\frac{\sqrt{3} }{(\sqrt{3})^2 }$

⇒ $\frac{\sqrt{3} }{3 }$.

Therefore, the rationalising factor of $\frac{1}{\sqrt{3} }$ is $\sqrt{3}$.

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