380/sqrt{(frac{2.1+3.26{0.2})^2+3.58^2}} eching

$$\frac { 380 } { \sqrt { ( \frac { 2.1 + 3.26 } { 0.2 } ) ^ { 2 } + 3.58 ^ { 2 } } }$$

Baholash

$$\frac{19000\sqrt{1827641}}{1827641}\approx 14,054265543$$

Yechim qadamlari

5,36 olish uchun 2,1 va 3,26'ni qo'shing.

$$\frac{380}{\sqrt{\left(\frac{5,36}{0,2}\right)^{2}+3,58^{2}}}$$

\frac{5,36}{0,2} kasrini uning surat va maxrajini 100 ga ko‘paytirish bilan kengaytiring.

$$\frac{380}{\sqrt{\left(\frac{536}{20}\right)^{2}+3,58^{2}}}$$

\frac{536}{20} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{380}{\sqrt{\left(\frac{134}{5}\right)^{2}+3,58^{2}}}$$

2 daraja ko‘rsatkichini \frac{134}{5} ga hisoblang va \frac{17956}{25} ni qiymatni oling.

$$\frac{380}{\sqrt{\frac{17956}{25}+3,58^{2}}}$$

2 daraja ko‘rsatkichini 3,58 ga hisoblang va 12,8164 ni qiymatni oling.

$$\frac{380}{\sqrt{\frac{17956}{25}+12,8164}}$$

\frac{1827641}{2500} olish uchun \frac{17956}{25} va 12,8164'ni qo'shing.

$$\frac{380}{\sqrt{\frac{1827641}{2500}}}$$

\sqrt{\frac{1827641}{2500}} boʻlinmasining kvadrat ildizini \frac{\sqrt{1827641}}{\sqrt{2500}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing.

$$\frac{380}{\frac{\sqrt{1827641}}{\sqrt{2500}}}$$

2500 ning kvadrat ildizini hisoblab, 50 natijaga ega bo‘ling.

$$\frac{380}{\frac{\sqrt{1827641}}{50}}$$

380 ni \frac{\sqrt{1827641}}{50} ga bo'lish 380 ga k'paytirish \frac{\sqrt{1827641}}{50} ga qaytarish.

$$\frac{380\times 50}{\sqrt{1827641}}$$

\frac{380\times 50}{\sqrt{1827641}} maxrajini \sqrt{1827641} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{380\times 50\sqrt{1827641}}{\left(\sqrt{1827641}\right)^{2}}$$

\sqrt{1827641} kvadrati – 1827641.

$$\frac{380\times 50\sqrt{1827641}}{1827641}$$

19000 hosil qilish uchun 380 va 50 ni ko'paytirish.

$$\frac{19000\sqrt{1827641}}{1827641}$$