Question

упростить выражения:

$sqrt{20+14 sqrt{2} }+ sqrt{20-14 sqrt{2} }$

$frac{7-4 sqrt{3} }{ sqrt{26-15 sqrt{3} } }$

Answer 1

$sqrt{20+14 sqrt{2} }+ sqrt{20-14 sqrt{2} } =20+14 sqrt{2} +20-14 sqrt{2}=20+20=40$
$frac{7-4 sqrt{3} }{ sqrt{26-15 sqrt{3}}}= frac{49-16*3}{26-15 sqrt{3}}= frac{1}{26-15 sqrt{3} }$