sqrt{1/20-1[112-(38)^2/20} eching

$$\sqrt { \frac { 1 } { 20 - 1 } [ 112 - \frac { ( 38 ) ^ { 2 } } { 20 } }$$

Baholash

$$\frac{\sqrt{18905}}{95}\approx 1,447320573$$

Yechim qadamlari

19 olish uchun 20 dan 1 ni ayirish.

$$\sqrt{\frac{1}{19}\left(112-\frac{38^{2}}{20}\right)}$$

2 daraja ko‘rsatkichini 38 ga hisoblang va 1444 ni qiymatni oling.

$$\sqrt{\frac{1}{19}\left(112-\frac{1444}{20}\right)}$$

\frac{1444}{20} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\sqrt{\frac{1}{19}\left(112-\frac{361}{5}\right)}$$

112 ni \frac{560}{5} kasrga o‘giring.

$$\sqrt{\frac{1}{19}\left(\frac{560}{5}-\frac{361}{5}\right)}$$

\frac{560}{5} va \frac{361}{5} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\sqrt{\frac{1}{19}\times \frac{560-361}{5}}$$

199 olish uchun 560 dan 361 ni ayirish.

$$\sqrt{\frac{1}{19}\times \frac{199}{5}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{19} ni \frac{199}{5} ga ko‘paytiring.

$$\sqrt{\frac{1\times 199}{19\times 5}}$$

\frac{1\times 199}{19\times 5} kasridagi ko‘paytirishlarni bajaring.

$$\sqrt{\frac{199}{95}}$$

\sqrt{\frac{199}{95}} boʻlinmasining kvadrat ildizini \frac{\sqrt{199}}{\sqrt{95}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing.

$$\frac{\sqrt{199}}{\sqrt{95}}$$

\frac{\sqrt{199}}{\sqrt{95}} maxrajini \sqrt{95} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{\sqrt{199}\sqrt{95}}{\left(\sqrt{95}\right)^{2}}$$

\sqrt{95} kvadrati – 95.

$$\frac{\sqrt{199}\sqrt{95}}{95}$$

\sqrt{199} va \sqrt{95} ni koʻpaytirish uchun kvadrat ildiz ichidagi sonlarni koʻpaytiring.

$$\frac{\sqrt{18905}}{95}$$