Question

7.Rationalize: 1 / (2+√3) *
1 point
2+√3
1 / (2+√3)
0
2- √3
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Answer 1

Hope this helps you ;)

$\frac{1}{2 + \sqrt{3} }$

$= \frac{1}{2 + \sqrt{3} } \times \frac{(2 - \sqrt{3}) }{(2 - \sqrt{3)} }$

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

$= \frac{2 - \sqrt{3} }{4 - 3}$

$= 2 - \sqrt{3}$