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aratati ca x(rad8-rad2)=4

Răspuns :

x(√8-√2)=4
x(2√2-√2)=4
x√2=4 |^2
x^2×2=16
x^2=8
x=√8
x=2√2

[tex]\it \sqrt8 = \sqrt{4\cdot2} = 2\sqrt2 [/tex]

Ecuația devine:

[tex]\it x(2\sqrt2-\sqrt2) = 4 \Rightarrow x\cdot\sqrt2=4 \Rightarrow x = \dfrac{^{\sqrt2)}4}{ \ \sqrt2} = \dfrac{4\sqrt2}{2}=2\sqrt2[/tex]