Question

$\frac{14}{3+ \sqrt{2} } -5+2 \sqrt{2}$

Answer 1

14/3+√2 -5+2√2=
14(3-√2)/3²-2 -5+2√2=
14(3-√2)/7 -5+2√2=
2(3-√2)-5+2√2=
6-2√2-5+2√2=
6-5=1

Answer 2

rationalizam numitorul, adicaamplifivcvam fractia cu conjugatul numitorului 3-2√2
si tinem cont ca (3-√2)(3+√2)=3²-(√2)²=9-2=7

[14(3-√2)/(9-2)]-5+2√2=
[14(3-√2)/7]-5+2√2=
2(3-√2)-5+2√2=
6-2√2-5+2√2=1