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\frac{3\left(\sqrt{5}+\sqrt{2}\right)}{\left(\sqrt{5}-\sqrt{2}\right)\left(\sqrt{5}+\sqrt{2}\right)}
\frac{3}{\sqrt{5}-\sqrt{2}} maxrajini \sqrt{5}+\sqrt{2} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.
\frac{3\left(\sqrt{5}+\sqrt{2}\right)}{\left(\sqrt{5}\right)^{2}-\left(\sqrt{2}\right)^{2}}
Hisoblang: \left(\sqrt{5}-\sqrt{2}\right)\left(\sqrt{5}+\sqrt{2}\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
\frac{3\left(\sqrt{5}+\sqrt{2}\right)}{5-2}
\sqrt{5} kvadratini chiqarish. \sqrt{2} kvadratini chiqarish.
\frac{3\left(\sqrt{5}+\sqrt{2}\right)}{3}
3 olish uchun 5 dan 2 ni ayirish.
\sqrt{5}+\sqrt{2}
3 va 3 ni qisqartiring.