Question

1. (√5 - √3)^2
plzz answer it fast​

Answer 1

Identity II:

${(x + y)}^{2} = {(x)}^{2} - 2xy + {(y)}^{2}$

Given:

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

Solution:

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

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

$= 8 + 2 \sqrt{15}$

Answer:

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