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\frac{\frac{\sqrt{3}}{2}-\frac{154}{94864}}{\frac{\sqrt{3}}{2}+\frac{154}{308^{2}}}
2 daraja ko‘rsatkichini 308 ga hisoblang va 94864 ni qiymatni oling.
\frac{\frac{\sqrt{3}}{2}-\frac{1}{616}}{\frac{\sqrt{3}}{2}+\frac{154}{308^{2}}}
\frac{154}{94864} ulushini 154 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.
\frac{\frac{308\sqrt{3}}{616}-\frac{1}{616}}{\frac{\sqrt{3}}{2}+\frac{154}{308^{2}}}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2 va 616 ning eng kichik umumiy karralisi 616. \frac{\sqrt{3}}{2} ni \frac{308}{308} marotabaga ko'paytirish.
\frac{\frac{308\sqrt{3}-1}{616}}{\frac{\sqrt{3}}{2}+\frac{154}{308^{2}}}
\frac{308\sqrt{3}}{616} va \frac{1}{616} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{\frac{308\sqrt{3}-1}{616}}{\frac{\sqrt{3}}{2}+\frac{154}{94864}}
2 daraja ko‘rsatkichini 308 ga hisoblang va 94864 ni qiymatni oling.
\frac{\frac{308\sqrt{3}-1}{616}}{\frac{\sqrt{3}}{2}+\frac{1}{616}}
\frac{154}{94864} ulushini 154 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.
\frac{\frac{308\sqrt{3}-1}{616}}{\frac{308\sqrt{3}}{616}+\frac{1}{616}}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2 va 616 ning eng kichik umumiy karralisi 616. \frac{\sqrt{3}}{2} ni \frac{308}{308} marotabaga ko'paytirish.
\frac{\frac{308\sqrt{3}-1}{616}}{\frac{308\sqrt{3}+1}{616}}
\frac{308\sqrt{3}}{616} va \frac{1}{616} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{\left(308\sqrt{3}-1\right)\times 616}{616\left(308\sqrt{3}+1\right)}
\frac{308\sqrt{3}-1}{616} ni \frac{308\sqrt{3}+1}{616} ga bo'lish \frac{308\sqrt{3}-1}{616} ga k'paytirish \frac{308\sqrt{3}+1}{616} ga qaytarish.
\frac{308\sqrt{3}-1}{308\sqrt{3}+1}
Surat va maxrajdagi ikkala 616 ni qisqartiring.
\frac{\left(308\sqrt{3}-1\right)\left(308\sqrt{3}-1\right)}{\left(308\sqrt{3}+1\right)\left(308\sqrt{3}-1\right)}
\frac{308\sqrt{3}-1}{308\sqrt{3}+1} maxrajini 308\sqrt{3}-1 orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.
\frac{\left(308\sqrt{3}-1\right)\left(308\sqrt{3}-1\right)}{\left(308\sqrt{3}\right)^{2}-1^{2}}
Hisoblang: \left(308\sqrt{3}+1\right)\left(308\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{\left(308\sqrt{3}-1\right)^{2}}{\left(308\sqrt{3}\right)^{2}-1^{2}}
\left(308\sqrt{3}-1\right)^{2} hosil qilish uchun 308\sqrt{3}-1 va 308\sqrt{3}-1 ni ko'paytirish.
\frac{94864\left(\sqrt{3}\right)^{2}-616\sqrt{3}+1}{\left(308\sqrt{3}\right)^{2}-1^{2}}
\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(308\sqrt{3}-1\right)^{2} kengaytirilishi uchun ishlating.
\frac{94864\times 3-616\sqrt{3}+1}{\left(308\sqrt{3}\right)^{2}-1^{2}}
\sqrt{3} kvadrati – 3.
\frac{284592-616\sqrt{3}+1}{\left(308\sqrt{3}\right)^{2}-1^{2}}
284592 hosil qilish uchun 94864 va 3 ni ko'paytirish.
\frac{284593-616\sqrt{3}}{\left(308\sqrt{3}\right)^{2}-1^{2}}
284593 olish uchun 284592 va 1'ni qo'shing.
\frac{284593-616\sqrt{3}}{308^{2}\left(\sqrt{3}\right)^{2}-1^{2}}
\left(308\sqrt{3}\right)^{2} ni kengaytirish.
\frac{284593-616\sqrt{3}}{94864\left(\sqrt{3}\right)^{2}-1^{2}}
2 daraja ko‘rsatkichini 308 ga hisoblang va 94864 ni qiymatni oling.
\frac{284593-616\sqrt{3}}{94864\times 3-1^{2}}
\sqrt{3} kvadrati – 3.
\frac{284593-616\sqrt{3}}{284592-1^{2}}
284592 hosil qilish uchun 94864 va 3 ni ko'paytirish.
\frac{284593-616\sqrt{3}}{284592-1}
2 daraja ko‘rsatkichini 1 ga hisoblang va 1 ni qiymatni oling.
\frac{284593-616\sqrt{3}}{284591}
284591 olish uchun 284592 dan 1 ni ayirish.