Question

Evaluate: (√3 - √5) ²​

Answer 1

Step-by-step explanation:

$( { \sqrt{3} - \sqrt{5} ) }^{2}$

$= ( { \sqrt{3}) }^{2} - 2 \times \sqrt{3} \times \sqrt{5} + ( { \sqrt{5} )}^{2}$

$= 3 - 2 \sqrt{15} + 5$

$= 8 - 2 \sqrt{15}$

$= 2(4 - \sqrt{15} )$