AM-538

Surds and rationalising

A Math · Secondary 3 · Hard · Surds and rationalising

It is given that

p=\dfrac{\sqrt{3}+2}{1-\sqrt{3}}

. Express

p

in the form

a\sqrt{3}+b

, where

a

and

b

are integers.

$-\dfrac{3}{2}\sqrt{3}-\dfrac{5}{2}$
$\dfrac{3}{2}\sqrt{3}-\dfrac{5}{2}$
$-\dfrac{3}{2}\sqrt{3}+\dfrac{5}{2}$
$\dfrac{3}{2}\sqrt{3}+\dfrac{5}{2}$

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