Question

(√5-√3)(√5-√3)

simplfy each of the following expression​

Answer 1

Answer:

$8 - 2 \sqrt{15}$

Step-by-step explanation:

$( \sqrt{5} - \sqrt{3} )( \sqrt{5} - \sqrt{3} ) \\ this \: can \: be \: written \: in \: the \: form \\ {( \sqrt{5 } - \sqrt{3} )}^{2} \\ using \: the \: formula \: \\ {(a - b)}^{2} = {a}^{2} - 2ab + {b}^{2} \\ {( \sqrt{5 } - \sqrt{3} )}^{2} = {( \sqrt{5} )}^{2} - 2( \sqrt{5} )( \sqrt{3} ) + {( \sqrt{3} )}^{2} \\ = 5 - 2 \sqrt{15} + 3 \\ = 8 - 2 \sqrt{15}$