1.
a) √75 - √12 + √300 =
b) 3√150 - √24 - 2√96 =
c) -6√3- √48 + 2√300 =
2.
a) (√5)³=
b) (-√5)³=
c) (2√2)³=
3.
⁵√-¹/₃₂ =
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1.
a) √75 - √12 + √300 = √25*3 - √4*3 + √100*3 =5 √3 - 2√3+10√3=13√3
b) 3√150 - √24 - 2√96 =3√6*25 - √4*6 - 2√6*16 = 3*5√6 - 2√6 - 2*4√6=15√6-2√6-12√6 = √6
c) -6√3- √48 + 2√300 = -6√3 - √3*16 + 2√100*3 = -6√3 - 4√3 + 2*10√3 = -6√3 - 4√3 + 20√3 = 10√3
2.
a) (√5)³= √5 * √5 * √5 = 5√5
b) (-√5)³= -5√5
c) (2√2)³= (2√2) * (2√2) * (2√2) = 12*2 * (2√2) = 24*(2√2) = 48√2
3.
⁵√-¹/₃₂ =