Question

simplify( root 3-root 5)(root 5+root 3)/7-2root5​

Answer 1

Answer:

Step-by-step explanation:

(√3-√5) (√5+√3)/7-2√5

=(√3+√5) (√3-√5)/ 7-2√5

=(√3)^2-(√5)^2/7-2√5

=(3-5)/7-2√5

=(-2)(7+2√5)/{(7-2√5)(7+2√5)}

=(-14-4√5)/49-20

=-(14+4√5)/29

Answer 2

Answer:

$\frac{(\sqrt{3}-\sqrt{5})(\sqrt{5}+\sqrt{3} ) }{7-2\sqrt{5} }$

=$\frac{-(\sqrt{5}-\sqrt{3})(\sqrt{5}+\sqrt{3} ) }{7-2\sqrt{5} }$

$=\frac{-(5-3)}{7-2\sqrt{5} }$

$=\frac{2}{7-2\sqrt{5} }$

$\frac{2}{{7-2\sqrt{5} } }$ x $\frac{{{7+2\sqrt{5} } } }{{{7+2\sqrt{5} } } }$

2 ×$\frac{{{7+2\sqrt{5} } } }{29}$