Autorzy:Adam Makowski, Tomasz Masłowski, Anna Toruńska
Wydawnictwo:WSiP
Rok wydania:2016
Zapisz podane liczby w prostszej postaci (bez niewymierności4.57 gwiazdek na podstawie 7 opinii

Zapisz podane liczby w prostszej postaci (bez niewymierności

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`a) \ \ 7/sqrt2=7/sqrt2*sqrt2/sqrt2=(7*sqrt2)/(sqrt2*sqrt2)=(7sqrt2)/sqrt4=(7sqrt2)/2=3 1/2sqrt2` 

`b) \ \ 6/sqrt3=6/sqrt*sqrt3/sqrt3=(6sqrt3)/sqrt9=(strike6^2sqrt3)/strike3^1=2sqrt3` 

`c) \ \ 5/sqrt10=5/sqrt*sqrt10/sqrt10=(5sqrt10)/(sqrt10*sqrt10)=(5sqrt10)/(sqrt100)=(strike5^1sqrt10)/strike10^2=sqrt10/2` 

`d) \ \ 6/sqrt6=6/sqrt6=6/sqrt6*sqrt6/sqrt6=(6*sqrt6)/(sqrt6*sqrt6)=(6sqrt6)/sqrt36=(6sqrt6)/6=sqrt6` 

`e) \ \ 17/sqrt17=17/sqrt17*sqrt17/sqrt17=(17*sqrt17)/(sqrt17*sqrt17)=(17sqrt17)/17=sqrt17` 

`f) \ \ 7/(2sqrt14)=7/(2sqrt14)*sqrt14/sqrt14=(7*sqrt14)/(2sqrt14*sqrt14)=(7sqrt14)/(2sqrt(14^2))=(strike7^1sqrt14)/(2*strike14^2)=sqrt14/4` 

`g) \ \ 3/(2sqrt6)=3/(2sqrt6)*sqrt6/sqrt6=(3*sqrt6)/(2sqrt6*sqrt6)=(3sqrt6)/(2sqrt(6^2))=(3sqrt6)/(2*6)=(strike3^1sqrt6)/strike12^4=sqrt6/4` 

`h) \ \ sqrt7/sqrt5=sqrt7/sqrt5*sqrt5/sqrt5=(sqrt7*sqrt5)/(sqrt(5^2))=sqrt35/sqrt25=sqrt35/5` 

`i) \ \ sqrt15/sqrt6=sqrt(15/6)=sqrt(5/2)=sqrt5/sqrt2=sqrt5/sqrt2*sqrt2/sqrt2=(sqrt5*sqrt2)/(sqrt2*sqrt2)=sqrt10/sqrt4=sqrt10/2` 

`j) \ \ (-sqrt11)/sqrt2=(-sqrt11)/sqrt2*sqrt2/sqrt2=(-sqrt11*sqrt2)/(sqrt(2^2))=(-sqrt22)/2` 

`k) \ \ (-sqrt14)/sqrt21=-sqrt(14/21)=-sqrt(2/3)==-sqrt2/sqrt3=-sqrt2/sqrt3*sqrt3/sqrt3=(-sqrt2*sqrt3)/(sqrt3*sqrt3)=(-sqrt6)/sqrt9=-sqrt6/3`     

`l) \ \ sqrt(3 2/5)=sqrt(17/5)=sqrt17/sqrt5=sqrt17/sqrt5*sqrt5/sqrt5=(sqrt17*sqrt5)/(sqrt5*sqrt5)=sqrt85/sqrt25=sqrt85/5`