Question

ex 23
simplificati raportul
$a) \frac{15}{ \sqrt{3}* \sqrt{5} }$
 b)$\frac{5- \sqrt{5} }{2 \sqrt{5} }$
c)$\frac{3- \sqrt{3} } { 3\sqrt{2-} \sqrt6} }$
d)$\frac{ 3\sqrt{8} +2 \sqrt{12}+ \sqrt{20} }{3 \sqrt{18}+ 2\sqrt{27} + \sqrt{48} }$

ex 24)scoateti factoorul sub radical 
a$\sqrt{32a ^{3} b ^{10} }$) unde    a>0,b≤0:
b)$\sqrt{27(a-b) ^{5} } ,$ unde  a>b
c)$\sqrt{-8(a-3) ^{3} }$, unde a <3
d)$\sqrt{(x-2) ^{3}(5-x) ^{5} },$ unde 2<x<5
 
ex25)ntroduceti facotrul sub radical 
a)$a \sqrt{3} , daca a <0$
b)$x \sqrt{x}$
c)$y \sqrt{-y}$
d)$(a-b) \sqrt{a-b}$
e)$(x-y) \sqrt{y-x}$;

Answer 1

15√15/15=√15
b) (5√5-5)/10=(√5-1)/2
c) (3-√3)(3√2+√6)/(18-6)=(9√2-3√6+3√6-3√2)/12=6√2/12=√2/2
d) (6√2+4√3+2√5)/(9√2+6√3+4√3)=2(3√2+2√3+√5)/(13√2+6√3)=
2(3√2+2√3+√5)(13√2-6√3)/(338-108)=2(78+26√6+13√10-18√6-36-6√15)/230=
(8√6+13√10-6√15+42)/115

a) 4ab^5√2a
b) 3(a-b)²√3(a-b)
c)  2(a-2)√-2(a-3)
d) (x-2)(5-x)²√(x-2)(5-x)

a)√3a²
b) √x³
c) √y³
d) √(a-b)³
e) √-(x-y)³