Question

1.Oblicz

[(7+24^½)^½+(7-24½)^½]²=

2.usun niewymiernosc z mianownika

3/1+√2-√3

Prosze o wybaczenie braku niektorych znakow: na moje oko po prostu ich nie ma

znakiem ^ oznaczylem do potegi

Answer 1

[(7+24^½)^½+(7-24^½)^½]²=

=(7+24^½)+2(7+24^½)^½(7-24^½)^½+(7-24^½)=

=(7+24^½)+(7-24^½)+2[(7+24^½)(7-24^½)]^½=

=7+24^½+7-24^½+2(49-24)^½=

=14+2(25)^½=

=14+10=

=24

 

3/(1+√2-√3)=

3(1+√2+√3)/(1+√2-√3)(1+√2+√3)=

=3(1+√2+√3)/((1+√2)²-3)=

=3(1+√2+√3)/(1+2√2+2-3)=

=3(1+√2+√3)/2√2=

=3(1+√2+√3)√2/2√2√2=

=3(1+√2+√3)√2/4