2.
a) √784/1225=28/35=4/5
c) √1/6³× 81/625= 9/25×1/6× √1/6= 3√6/50×6= (√6)/100
5.
a) √2³=2√2
b)√(-2)⁶=√2⁶=√(2³)²=2³
7 .
a) (6+ √6 )(3√2 + 4√3)(√3 -√ 2 ) =
=(6+ √6 )(3√6+12-6-4√6) =
=(6+ √6 )(6-√6) =
=36-6=30
11.
1/(1+√2) +1/(√2 +√3) + 1/(3√4 + 4√3)=
=(1-√2) /(1+√2) (1-√2) +(√2 -√3)/(√2 +√3)(√2 -√3) + 1/(6+4√3)=
=(1-√2) /(1-2) +(√2 -√3)/(2 -3) + (6-4√3)/(6+4√3)(6-4√3)=
=(1-√2) /(-1) +(√2 -√3)/(-1) + (6-4√3)/(36-48)=
=√2-1-√2+√3 + (6-4√3)/(-12)=
=-1+√3 - 2(3-2√3)/12=
=-1+√3 - (3-2√3)/6=
=(-6+6√3-3+2√3)/6
=(8√3-9)/6