Question

rationalize 1/2√3
$\frac{1}{2 \sqrt{3} }$


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Answer 1

Answer:

The answer is $\dfrac{\sqrt 3}{6}$

Step-by-step explanation:

• Multiply numerator and denominator by $\sqrt 3$ and simplify

                             $\dfrac{1}{2\sqrt 3}\times \dfrac{\sqrt 3}{\sqrt 3}=\dfrac{\sqrt 3}{2(3)}=\dfrac{\sqrt 3}{6}$

Answer 2

Question

Rationalize :-

$\bf \dfrac{1}{2 \sqrt{3} }$

Answer

$={\rm{ \red{\dfrac{\sqrt{3}}{6}}}}$

Solution

Here, we have to rationalize 1 /(2√3) because a surd (root form of a rational number) cannot be in denominator by the method of rationalization we will bring the surd in numerator and make denominator integral .

Let's Proceed !!

Multiply √3 in the numerator and denominator of the given rational number.

$\dfrac{1}{2 \sqrt{3}} \times \dfrac{\sqrt{3}}{ \sqrt{3}} = \dfrac{ \sqrt{3}}{ 2 \times ( \sqrt{3} \times \sqrt{3})}$

Note that when two identical surd are multiplied it bears the same number without surd.

☞ √3 × √3 = 3

Therefore,

$\dfrac{ \sqrt{3}}{2 \times 3} = \red{\dfrac{ \sqrt{3}}{6}}$

Thus, we are done with our calculation !!

$\underline{\rule{190pt}{2pt}}$

Thankyou