1/(√3 -2) | Rationalization Of Surds | SciPiPupil

Question: Rationalize the denominators and simplify: $\dfrac{1}{√3 -2}$

Solution:

Given,

$= \dfrac{1}{√3 - 2}$

$= \dfrac{1}{√3 -2} × \dfrac{√3 +2}{√3 +2}$

$= \dfrac{1(√3+2)}{(√3}² - 2²}$

$= \dfrac{√3 + 2}{3 -4}$

$= \dfrac{√3 +2}{-1}$

$= - (√3 +2)$

$= -√3 - 2$

= Answer

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