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\frac{27}{\sqrt{7}-2}
27 olish uchun 35 dan 8 ni ayirish.
\frac{27\left(\sqrt{7}+2\right)}{\left(\sqrt{7}-2\right)\left(\sqrt{7}+2\right)}
\frac{27}{\sqrt{7}-2} maxrajini \sqrt{7}+2 orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.
\frac{27\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{27\left(\sqrt{7}+2\right)}{7-4}
\sqrt{7} kvadratini chiqarish. 2 kvadratini chiqarish.
\frac{27\left(\sqrt{7}+2\right)}{3}
3 olish uchun 7 dan 4 ni ayirish.
9\left(\sqrt{7}+2\right)
9\left(\sqrt{7}+2\right) ni olish uchun 27\left(\sqrt{7}+2\right) ni 3 ga bo‘ling.
9\sqrt{7}+18
9 ga \sqrt{7}+2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.