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Se considera numerele reale
a=√128 (1 pe √8 - 1 pe √32)
b=√2    + 1-√2 pe 2-√2
Calculati ab-√2


Răspuns :

a=√128 (1/√8 - 1/√32)=8√2(1/2√2-1/4√2)= 4-2=2

b=√2 + 1-√2/ 2-√2 =1 -√2/2

ab-√2= 2(1-2√2)-√2 = 2-4√2-√2=2-5√2

b=√2 + 1-√2/( 2-√2 )=√2 + 1-√2(2+√2)/( 2-√2 )(2+√2)=√2 + 1-(2√2-2)/( 4--2 )=
=√2 + 1-√2+1= 2

ab-√2=2x2-√2=4-√2