Упростить [tex] \frac{ \sqrt{ 2y-2\sqrt{ y^{2} -4} } }{ \sqrt{ y^{2}-4 } - (y+2)} [/tex]. Created by Arthurchke. algebra-ru

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Упростить
[tex] \frac{ \sqrt{ 2y-2\sqrt{ y^{2} -4} } }{ \sqrt{ y^{2}-4 } - (y+2)} [/tex]

миша29112000

Verified answer

Ответ: (√у+2)/(у+2)
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2 votes Thanks 2

sedinalana 2y-2√(y-2)(y+2)=(√(y-2)-√(y+2))²
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√(√(y+2)-(√y-2)²/[√(y+2)(√(y-2)-√(y+2)]=(√(y-2)-√(y+2))/[√(y+2)(√(y-2)-√(y+2))]=
=1/√(y+2),y>2

0 votes Thanks 0

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