Question

rationalize the denominator of 1/ 5 -√3​

Answer 1

Answer is in the attachment

Answer 2

Answer

• Rationalized $\sf \cfrac{5 + \sqrt{3} }{22}$

To Do

• To rationalize the $\sf\cfrac{1}{5 - \sqrt{3} }$.

Step By Step Explanation

In this question we need to rationalize $\sf\cfrac{1}{5 - \sqrt{3} }$.

So let's do it !!

$\longmapsto \sf\cfrac{1}{5 - \sqrt{3} } \\ \\ \longmapsto \sf\cfrac{1}{5 - \sqrt{3} } \: \: \times \: \: \cfrac{5 + \sqrt{3} }{5 + \sqrt{3} } \\ \\ \longmapsto \sf \underline{\boxed{ \bold{ \red{(x + y) \times (x - y) = {x}^{2} - {y}^{2}}}}} \: \: \: \: \: \purple\bigstar\\ \\\longmapsto \sf \cfrac{5 + \sqrt{3} }{ {(5)}^{2}- ({ \sqrt{3}})^{2} } \\ \\ \longmapsto \sf \cfrac{5 + \sqrt{3} }{25 - 3} \\ \\ \longmapsto \underline{\boxed { \bold{ \green{ \cfrac{5 + \sqrt{3} }{22}}}}} \: \: \: \: \: \: \bigstar$

Hence, Rationalized.

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More To Know

• Rationalisation Suppose we are given a number whose denominator is irrational. Then, the process of converting it into an equivalent expression whose denominator is a rational number by multiplying it's numerator and denominator by a suitable number, is called rationalisation.

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