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\frac{6\left(3-\sqrt{7}\right)}{\left(3+\sqrt{7}\right)\left(3-\sqrt{7}\right)}
\frac{6}{3+\sqrt{7}} maxrajini 3-\sqrt{7} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.
\frac{6\left(3-\sqrt{7}\right)}{3^{2}-\left(\sqrt{7}\right)^{2}}
Hisoblang: \left(3+\sqrt{7}\right)\left(3-\sqrt{7}\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
\frac{6\left(3-\sqrt{7}\right)}{9-7}
3 kvadratini chiqarish. \sqrt{7} kvadratini chiqarish.
\frac{6\left(3-\sqrt{7}\right)}{2}
2 olish uchun 9 dan 7 ni ayirish.
3\left(3-\sqrt{7}\right)
3\left(3-\sqrt{7}\right) ni olish uchun 6\left(3-\sqrt{7}\right) ni 2 ga bo‘ling.
9-3\sqrt{7}
3 ga 3-\sqrt{7} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.