Question

Calculati:
a)0,2*√8+0,3*√18-0,3*√2
b)√20/3+√45/2-13√5/6
c)0,1√8-√50/2+2,3√2
d)5√3-1/2√27+1,5√3

Calculati:
a)(√18+√27):3
b)(√8-√10):√2
c)(√3-√6+√15):(-√3)
d)(4√10+2√15):(2√5)
e)(√2+√6+√14):1/√2
f)(√18-√45) :(-3/√2)

Answer 1

a)0,2*√8+0,3*√18-0,3*√2=
=0,2*2√2+0,3*3√2-0,3*√2 =
=0,4√2+0,9√2-0,3√2 =
=1,3√2-0,3√2 =
=√2

b)√20/3+√45/2-13√5/6=
=2√5/3+3√5/2-13√5/6 =
=4√5/6+9√5/6-13√5/6 =0

c)0,1√8-√50/2+2,3√2=
=0,1*2√2-5√2/2+2,3√2=
=0,2√2-2,5√2+2,3√2=0


d)5√3-1/2√27+1,5√3=
=6,5√3-1/2*3√3=
=6,5√3-1,5√3=
=5√3

a)(√18+√27):3=
=(3√2+3√3):3=
=√2+√3
 b)(√8-√10):√2=
=(2√2-√2*5):√2=
=2-√5

c)(√3-√6+√15):(-√3)=
=(√3-√2*3+√3*5):(-√3)=
=-1+√2-√5

d)(4√10+2√15):(2√5)=
=(4√2*5+2√3*5):(2√5)=
=2√2+√3

e)(√2+√6+√14):1/√2=
=(√2+√6+√14) x√2=
=2+2√3+2√7

 f)(√18-√45) :(-3/√2) =
=(3√2-3√5) x(-√2/3) =
=-2+√10