23. $\dfrac1{\sqrt{37}-6}-\dfrac1{\sqrt{37}+6}$

Question

Вопрос: $Фото задания: 23. $\dfrac1{\sqrt{37}-6}-\dfrac1{\sqrt{37}+6}$$ Фото задания

Accepted Answer

$\dfrac{(\sqrt{37}+6)-(\sqrt{37}-6)}{(\sqrt{37}-6)(\sqrt{37}+6)}=\dfrac{12}{37-36}=12$.

Ответ: 12.

23. \(\dfrac1{\sqrt{37}-6}-\dfrac1{\sqrt{37}+6}\)