Question

$(\frac{4}{ \sqrt{50} }+ \frac{3}{ \sqrt{18} } - \frac{1}{ \sqrt{32} } )* \sqrt{2}$

Answer 1

√50=5√2
√18=3√2
√32=4√2
(4/√50+3/√18-1/√32)*√2=
(4/5√2+3/3√2-1/4√2)*√2=
(4√2/5*2+3√2/3*2-√2/4*2)*√2=
(4√2/10+3√2/6-√2/8)*√2=
cmmmc=2³*3*5=8*15=120
aducem la acelasi numitor comun
(48√2+60√2-15√2/120)*√2=
93√2/120*√2=
93*2/120=186/120=31/20