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\frac{6\left(\sqrt{7}-2\right)}{\left(\sqrt{7}+2\right)\left(\sqrt{7}-2\right)}
\frac{6}{\sqrt{7}+2} maxrajini \sqrt{7}-2 orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.
\frac{6\left(\sqrt{7}-2\right)}{\left(\sqrt{7}\right)^{2}-2^{2}}
Hisoblang: \left(\sqrt{7}+2\right)\left(\sqrt{7}-2\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
\frac{6\left(\sqrt{7}-2\right)}{7-4}
\sqrt{7} kvadratini chiqarish. 2 kvadratini chiqarish.
\frac{6\left(\sqrt{7}-2\right)}{3}
3 olish uchun 7 dan 4 ni ayirish.
2\left(\sqrt{7}-2\right)
2\left(\sqrt{7}-2\right) ni olish uchun 6\left(\sqrt{7}-2\right) ni 3 ga bo‘ling.
2\sqrt{7}-4
2 ga \sqrt{7}-2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.