=32585-786*408/10/sqrt{[62280frac{786^2{10}][17412408^2/10]}} eching

$$= \frac { 32585 - \frac { 786 \times 408 } { 10 } } { \sqrt { [ 62280 \frac { 786 ^ { 2 } } { 10 } ] [ 17412 \frac { 408 ^ { 2 } } { 10 } ] } }$$

Baholash

$$\frac{2581\sqrt{7530690}}{14490011488320}\approx 0,000000489$$

Yechim qadamlari

320688 hosil qilish uchun 786 va 408 ni ko'paytirish.

$$\frac{32585-\frac{320688}{10}}{\sqrt{62280\times \frac{786^{2}}{10}\times 17412\times \frac{408^{2}}{10}}}$$

\frac{320688}{10} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{32585-\frac{160344}{5}}{\sqrt{62280\times \frac{786^{2}}{10}\times 17412\times \frac{408^{2}}{10}}}$$

32585 ni \frac{162925}{5} kasrga o‘giring.

$$\frac{\frac{162925}{5}-\frac{160344}{5}}{\sqrt{62280\times \frac{786^{2}}{10}\times 17412\times \frac{408^{2}}{10}}}$$

\frac{162925}{5} va \frac{160344}{5} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{162925-160344}{5}}{\sqrt{62280\times \frac{786^{2}}{10}\times 17412\times \frac{408^{2}}{10}}}$$

2581 olish uchun 162925 dan 160344 ni ayirish.

$$\frac{\frac{2581}{5}}{\sqrt{62280\times \frac{786^{2}}{10}\times 17412\times \frac{408^{2}}{10}}}$$

2 daraja ko‘rsatkichini 786 ga hisoblang va 617796 ni qiymatni oling.

$$\frac{\frac{2581}{5}}{\sqrt{62280\times \frac{617796}{10}\times 17412\times \frac{408^{2}}{10}}}$$

\frac{617796}{10} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{2581}{5}}{\sqrt{62280\times \frac{308898}{5}\times 17412\times \frac{408^{2}}{10}}}$$

62280\times \frac{308898}{5} ni yagona kasrga aylantiring.

$$\frac{\frac{2581}{5}}{\sqrt{\frac{62280\times 308898}{5}\times 17412\times \frac{408^{2}}{10}}}$$

19238167440 hosil qilish uchun 62280 va 308898 ni ko'paytirish.

$$\frac{\frac{2581}{5}}{\sqrt{\frac{19238167440}{5}\times 17412\times \frac{408^{2}}{10}}}$$

3847633488 ni olish uchun 19238167440 ni 5 ga bo‘ling.

$$\frac{\frac{2581}{5}}{\sqrt{3847633488\times 17412\times \frac{408^{2}}{10}}}$$

66994994293056 hosil qilish uchun 3847633488 va 17412 ni ko'paytirish.

$$\frac{\frac{2581}{5}}{\sqrt{66994994293056\times \frac{408^{2}}{10}}}$$

2 daraja ko‘rsatkichini 408 ga hisoblang va 166464 ni qiymatni oling.

$$\frac{\frac{2581}{5}}{\sqrt{66994994293056\times \frac{166464}{10}}}$$

\frac{166464}{10} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{2581}{5}}{\sqrt{66994994293056\times \frac{83232}{5}}}$$

66994994293056\times \frac{83232}{5} ni yagona kasrga aylantiring.

$$\frac{\frac{2581}{5}}{\sqrt{\frac{66994994293056\times 83232}{5}}}$$

5576127364999636992 hosil qilish uchun 66994994293056 va 83232 ni ko'paytirish.

$$\frac{\frac{2581}{5}}{\sqrt{\frac{5576127364999636992}{5}}}$$

\sqrt{\frac{5576127364999636992}{5}} boʻlinmasining kvadrat ildizini \frac{\sqrt{5576127364999636992}}{\sqrt{5}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing.

$$\frac{\frac{2581}{5}}{\frac{\sqrt{5576127364999636992}}{\sqrt{5}}}$$

Faktor: 5576127364999636992=1924128^{2}\times 1506138. \sqrt{1924128^{2}\times 1506138} koʻpaytmasining kvadrat ildizini \sqrt{1924128^{2}}\sqrt{1506138} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 1924128^{2} ning kvadrat ildizini chiqarish.

$$\frac{\frac{2581}{5}}{\frac{1924128\sqrt{1506138}}{\sqrt{5}}}$$

\frac{1924128\sqrt{1506138}}{\sqrt{5}} maxrajini \sqrt{5} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{\frac{2581}{5}}{\frac{1924128\sqrt{1506138}\sqrt{5}}{\left(\sqrt{5}\right)^{2}}}$$

\sqrt{5} kvadrati – 5.

$$\frac{\frac{2581}{5}}{\frac{1924128\sqrt{1506138}\sqrt{5}}{5}}$$

\sqrt{1506138} va \sqrt{5} ni koʻpaytirish uchun kvadrat ildiz ichidagi sonlarni koʻpaytiring.

$$\frac{\frac{2581}{5}}{\frac{1924128\sqrt{7530690}}{5}}$$

\frac{2581}{5} ni \frac{1924128\sqrt{7530690}}{5} ga bo'lish \frac{2581}{5} ga k'paytirish \frac{1924128\sqrt{7530690}}{5} ga qaytarish.

$$\frac{2581\times 5}{5\times 1924128\sqrt{7530690}}$$

Surat va maxrajdagi ikkala 5 ni qisqartiring.

$$\frac{2581}{1924128\sqrt{7530690}}$$

\frac{2581}{1924128\sqrt{7530690}} maxrajini \sqrt{7530690} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{2581\sqrt{7530690}}{1924128\left(\sqrt{7530690}\right)^{2}}$$

\sqrt{7530690} kvadrati – 7530690.

$$\frac{2581\sqrt{7530690}}{1924128\times 7530690}$$

14490011488320 hosil qilish uchun 1924128 va 7530690 ni ko'paytirish.

$$\frac{2581\sqrt{7530690}}{14490011488320}$$