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\frac{2\left(\sqrt{7}-3\right)}{\left(\sqrt{7}+3\right)\left(\sqrt{7}-3\right)}
\frac{2}{\sqrt{7}+3} maxrajini \sqrt{7}-3 orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.
\frac{2\left(\sqrt{7}-3\right)}{\left(\sqrt{7}\right)^{2}-3^{2}}
Hisoblang: \left(\sqrt{7}+3\right)\left(\sqrt{7}-3\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
\frac{2\left(\sqrt{7}-3\right)}{7-9}
\sqrt{7} kvadratini chiqarish. 3 kvadratini chiqarish.
\frac{2\left(\sqrt{7}-3\right)}{-2}
-2 olish uchun 7 dan 9 ni ayirish.
-\left(\sqrt{7}-3\right)
-2 va -2 ni qisqartiring.
-\sqrt{7}-\left(-3\right)
\sqrt{7}-3 teskarisini topish uchun har birining teskarisini toping.
-\sqrt{7}+3
-3 ning teskarisi 3 ga teng.