Question

salut 
COMPARATI NUMERELE 
$\frac{1}{2} \sqrt{28} SI \frac{1}{3} \sqrt{54}$
ex5simplificati fractiile
a)$\frac{ \sqrt{10}+5 }{2+ \sqrt{10} }$
b)$\frac{x-3 \sqrt{x} }{2 \sqrt{x}-6 }$

Answer 1

1/2x√28=1/2x√2²√7=1/2·2√7=2√7/2=√7=2,6457....
1/3·√54=1/3·√2√3³=1/3·√2·3√3=3√6/3=√6=2,44.....
deci1/2·√28>1/3·√54

(√10+5)/(2+√10) rationalizam=(√10+5)(2-√10)/(2+√10)(2-√10)=
(2√10-√10√10+10-5√10)/(2-10)=(-3√10)/-8=3√10/8

(x-3√x)/(2√x-6)=(x-3√x)(2√x+6)/(2√x-6)(2√x+6)=(2x√x+6x-6x-18√x)/(4x-6)=
(2x√x-18√x)/(4x-6)=2√x(x-9)/2(2x-3)=√x(x-9)/(2x-3)