Oblicz:
a) 2∛24-3∛192=
b) 3√80-3√125=
c) 2∛40-3∛625=
d) 2√20-3√45=
Daje naj!
a) 2∛24-3∛192=2∛24-6∛24=-4∛24b) 3√80-3√125=3(4√5-5√5)=-3√5c) 2∛40-3∛625=4∛5-15∛5=-11∛5d) 2√20-3√45=4√5-9√5=-5√5
pozdrawiam
= 2∛(8*3) - 3∛(64*3) =
= 2∛8*∛3 - 3∛64*∛3 =
= 2*2*∛3 - 3*4*∛3 =
= 4∛3 - 12∛3 =
= - 8∛3
= 3*√(16*5) - 3√(25*5) =
= 3√16*√5 -3√25*√5 =
= 3*4*√5 - 3*5*√5 =
= 12√5 - 15√5 =
= -3√5
= 2∛(8*5) - 3∛(125*5) =
= 2∛8*∛5 - 3∛125*∛5 =
=2*2*∛5 - 3*5*∛5 =
= 4∛5 - 15∛5 =
= -11∛5
= 2√(4*5) - 3√(9*5)=
= 2*√4*√5 - 3*√9*√5 =
= 2*2*√5 - 3*3*√5 =
= 4√5 - 9√5 =
= -5√5
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a) 2∛24-3∛192=2∛24-6∛24=-4∛24
b) 3√80-3√125=3(4√5-5√5)=-3√5
c) 2∛40-3∛625=4∛5-15∛5=-11∛5
d) 2√20-3√45=4√5-9√5=-5√5
pozdrawiam
Oblicz:
a) 2∛24-3∛192=
= 2∛(8*3) - 3∛(64*3) =
= 2∛8*∛3 - 3∛64*∛3 =
= 2*2*∛3 - 3*4*∛3 =
= 4∛3 - 12∛3 =
= - 8∛3
b) 3√80-3√125=
= 3*√(16*5) - 3√(25*5) =
= 3√16*√5 -3√25*√5 =
= 3*4*√5 - 3*5*√5 =
= 12√5 - 15√5 =
= -3√5
c) 2∛40-3∛625=
= 2∛(8*5) - 3∛(125*5) =
= 2∛8*∛5 - 3∛125*∛5 =
=2*2*∛5 - 3*5*∛5 =
= 4∛5 - 15∛5 =
= -11∛5
d) 2√20-3√45=
= 2√(4*5) - 3√(9*5)=
= 2*√4*√5 - 3*√9*√5 =
= 2*2*√5 - 3*3*√5 =
= 4√5 - 9√5 =
= -5√5