5/51^22x25sqrt{8%539+3} eching

$$\frac{ 5 }{ { 51 }^{ 2 } 2x25 \sqrt{ 8 \% 539+3 } }$$

Baholash

$$\frac{25\sqrt{1153}}{5997906x_{25}}$$

Qisqa yechim qadamlari

2 daraja ko‘rsatkichini 51 ga hisoblang va 2601 ni qiymatni oling.

$$\frac{5}{2\times 2601x_{25}\sqrt{\frac{8}{100}\times 539+3}}$$

5202 hosil qilish uchun 2 va 2601 ni ko'paytirish.

$$\frac{5}{5202x_{25}\sqrt{\frac{8}{100}\times 539+3}}$$

\frac{8}{100} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{5}{5202x_{25}\sqrt{\frac{2}{25}\times 539+3}}$$

\frac{2}{25}\times 539 ni yagona kasrga aylantiring.

$$\frac{5}{5202x_{25}\sqrt{\frac{2\times 539}{25}+3}}$$

1078 hosil qilish uchun 2 va 539 ni ko'paytirish.

$$\frac{5}{5202x_{25}\sqrt{\frac{1078}{25}+3}}$$

3 ni \frac{75}{25} kasrga o‘giring.

$$\frac{5}{5202x_{25}\sqrt{\frac{1078}{25}+\frac{75}{25}}}$$

\frac{1078}{25} va \frac{75}{25} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{5}{5202x_{25}\sqrt{\frac{1078+75}{25}}}$$

1153 olish uchun 1078 va 75'ni qo'shing.

$$\frac{5}{5202x_{25}\sqrt{\frac{1153}{25}}}$$

\sqrt{\frac{1153}{25}} boʻlinmasining kvadrat ildizini \frac{\sqrt{1153}}{\sqrt{25}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing.

$$\frac{5}{5202x_{25}\times \frac{\sqrt{1153}}{\sqrt{25}}}$$

25 ning kvadrat ildizini hisoblab, 5 natijaga ega bo‘ling.

$$\frac{5}{5202x_{25}\times \frac{\sqrt{1153}}{5}}$$

5202\times \frac{\sqrt{1153}}{5} ni yagona kasrga aylantiring.

$$\frac{5}{\frac{5202\sqrt{1153}}{5}x_{25}}$$

\frac{5202\sqrt{1153}}{5}x_{25} ni yagona kasrga aylantiring.

$$\frac{5}{\frac{5202\sqrt{1153}x_{25}}{5}}$$

5 ni \frac{5202\sqrt{1153}x_{25}}{5} ga bo'lish 5 ga k'paytirish \frac{5202\sqrt{1153}x_{25}}{5} ga qaytarish.

$$\frac{5\times 5}{5202\sqrt{1153}x_{25}}$$

\frac{5\times 5}{5202\sqrt{1153}x_{25}} maxrajini \sqrt{1153} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{5\times 5\sqrt{1153}}{5202\left(\sqrt{1153}\right)^{2}x_{25}}$$

\sqrt{1153} kvadrati – 1153.

$$\frac{5\times 5\sqrt{1153}}{5202\times 1153x_{25}}$$

25 hosil qilish uchun 5 va 5 ni ko'paytirish.

$$\frac{25\sqrt{1153}}{5202\times 1153x_{25}}$$

5997906 hosil qilish uchun 5202 va 1153 ni ko'paytirish.

$$\frac{25\sqrt{1153}}{5997906x_{25}}$$

x_25 ga nisbatan hosilani topish

$$-\frac{25\sqrt{1153}}{5997906x_{25}^{2}}$$