Question

Simplify ( root 3− root 5)( root 3+ root 5)/ 7−2 root 5

Answer 1

{(√3-√5)(√3+√5)}/7-2√5
(3+√15-√15-5)/7-2√5
-2/7-2√5
-2/7-2√5 × 7+2√5/7+2√5
(-14-4√5)/49-20
(-14-4√5)/29

Answer 2

$( \sqrt{3} - \sqrt{5} )( \sqrt{3} + \sqrt{5} ) \div 7 - 2 \sqrt{5}$
${( \sqrt{3} )}^{2} - {( \sqrt{5} )}^{2} \div 7 - 2 \sqrt{5}$
$3 - 5 \div 7 - 2 \sqrt{5}$
$- 2 \times 7 + 2 \sqrt{5} \div (7 - 2 \sqrt{5} ) \times( 7 + 2 \sqrt{5})$
$- 14 - 4 \sqrt{5} \div {7}^{2} - {(2 \sqrt{5} )}^{2}$
$- 14 - 4 \sqrt{5} \div 49 - 20$
$- 14 - 4 \sqrt{5} \div 29$