6/sqrt{7}+8/sqrt{2} eching

$$\frac { 6 } { \sqrt { 7 } } + \frac { 8 } { \sqrt { 2 } }$$

Baholash

$$\frac{6\sqrt{7}}{7}+4\sqrt{2}\approx 7,924641088$$

Qisqa yechim qadamlari

\frac{6}{\sqrt{7}} maxrajini \sqrt{7} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{6\sqrt{7}}{\left(\sqrt{7}\right)^{2}}+\frac{8}{\sqrt{2}}$$

\sqrt{7} kvadrati – 7.

$$\frac{6\sqrt{7}}{7}+\frac{8}{\sqrt{2}}$$

\frac{8}{\sqrt{2}} maxrajini \sqrt{2} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{6\sqrt{7}}{7}+\frac{8\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

\sqrt{2} kvadrati – 2.

$$\frac{6\sqrt{7}}{7}+\frac{8\sqrt{2}}{2}$$

4\sqrt{2} ni olish uchun 8\sqrt{2} ni 2 ga bo‘ling.

$$\frac{6\sqrt{7}}{7}+4\sqrt{2}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 4\sqrt{2} ni \frac{7}{7} marotabaga ko'paytirish.

$$\frac{6\sqrt{7}}{7}+\frac{7\times 4\sqrt{2}}{7}$$

\frac{6\sqrt{7}}{7} va \frac{7\times 4\sqrt{2}}{7} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{6\sqrt{7}+7\times 4\sqrt{2}}{7}$$

6\sqrt{7}+7\times 4\sqrt{2} ichidagi ko‘paytirishlarni bajaring.

$$\frac{6\sqrt{7}+28\sqrt{2}}{7}$$

Omil

$$\frac{2 {(3 \sqrt{7} + 14 \sqrt{2})}}{7} = 7,9246410875477435$$