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\frac{4\left(\sqrt{3}+1\right)}{\left(\sqrt{3}-1\right)\left(\sqrt{3}+1\right)}
\frac{4}{\sqrt{3}-1} maxrajini \sqrt{3}+1 orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.
\frac{4\left(\sqrt{3}+1\right)}{\left(\sqrt{3}\right)^{2}-1^{2}}
Hisoblang: \left(\sqrt{3}-1\right)\left(\sqrt{3}+1\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
\frac{4\left(\sqrt{3}+1\right)}{3-1}
\sqrt{3} kvadratini chiqarish. 1 kvadratini chiqarish.
\frac{4\left(\sqrt{3}+1\right)}{2}
2 olish uchun 3 dan 1 ni ayirish.
2\left(\sqrt{3}+1\right)
2\left(\sqrt{3}+1\right) ni olish uchun 4\left(\sqrt{3}+1\right) ni 2 ga bo‘ling.
2\sqrt{3}+2
2 ga \sqrt{3}+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.