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Calculati:
a) (√2) la puterea -3
b) ( 2√6+√54) la puterea 2
c) (-9√3+ 4 √27) LA puterea a doua
d) (√72:√8) la puterea 2
e) (√18-3√3) la puterea 2 - ( 2√10-(3√3) la puterea 2


Răspuns :

a) (√2)⁻³ = 1/(√2)³=1/2√2=√2/4

b) ( 2√6+√54)²=
( 2√6+3√6)²=(5√6)²=25*6=150

c) (-9√3+ 4 √27)²=
(-9√3+ 12 √3)²=(3 √3)²=27

 d) (√72:√8)² =
(6√2:2√2)²=3²=9
 
e) (√18-3√3)²  - ( 2√10-3√3)²
=
=18-6√54+27-40+12√30-27=
=18-6√54-40+12√30=
=-22-18√6+12√30