AM-341

Surds and rationalising

A Math · Secondary 3 · Medium · Surds and rationalising

Simplify

\dfrac{3+2\sqrt{7}}{5-\sqrt{7}}

and express your answer in the form

a+b\sqrt{7}

.

$\dfrac{29}{18}+\dfrac{13}{18}\sqrt{7}$
$\dfrac{29}{18}-\dfrac{13}{18}\sqrt{7}$
$\dfrac{29}{18}+\dfrac{5}{18}\sqrt{7}$
$\dfrac{43}{18}+\dfrac{13}{18}\sqrt{7}$

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