5sqrt{435450/90}-(6040/70)^2 eching

$$5 \sqrt { \frac { 435450 } { 90 } } - ( \frac { 6040 } { 70 } ) ^ { 2 }$$

Baholash

$$\frac{5\sqrt{43545}}{3}-\frac{364816}{49}\approx -7097,433843957$$

Qisqa yechim qadamlari

\frac{435450}{90} ulushini 30 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$5\sqrt{\frac{14515}{3}}-\left(\frac{6040}{70}\right)^{2}$$

\sqrt{\frac{14515}{3}} boʻlinmasining kvadrat ildizini \frac{\sqrt{14515}}{\sqrt{3}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing.

$$5\times \frac{\sqrt{14515}}{\sqrt{3}}-\left(\frac{6040}{70}\right)^{2}$$

\frac{\sqrt{14515}}{\sqrt{3}} maxrajini \sqrt{3} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$5\times \frac{\sqrt{14515}\sqrt{3}}{\left(\sqrt{3}\right)^{2}}-\left(\frac{6040}{70}\right)^{2}$$

\sqrt{3} kvadrati – 3.

$$5\times \frac{\sqrt{14515}\sqrt{3}}{3}-\left(\frac{6040}{70}\right)^{2}$$

\sqrt{14515} va \sqrt{3} ni koʻpaytirish uchun kvadrat ildiz ichidagi sonlarni koʻpaytiring.

$$5\times \frac{\sqrt{43545}}{3}-\left(\frac{6040}{70}\right)^{2}$$

5\times \frac{\sqrt{43545}}{3} ni yagona kasrga aylantiring.

$$\frac{5\sqrt{43545}}{3}-\left(\frac{6040}{70}\right)^{2}$$

\frac{6040}{70} ulushini 10 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{5\sqrt{43545}}{3}-\left(\frac{604}{7}\right)^{2}$$

2 daraja ko‘rsatkichini \frac{604}{7} ga hisoblang va \frac{364816}{49} ni qiymatni oling.

$$\frac{5\sqrt{43545}}{3}-\frac{364816}{49}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 3 va 49 ning eng kichik umumiy karralisi 147. \frac{5\sqrt{43545}}{3} ni \frac{49}{49} marotabaga ko'paytirish. \frac{364816}{49} ni \frac{3}{3} marotabaga ko'paytirish.

$$\frac{49\times 5\sqrt{43545}}{147}-\frac{364816\times 3}{147}$$

\frac{49\times 5\sqrt{43545}}{147} va \frac{364816\times 3}{147} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{49\times 5\sqrt{43545}-364816\times 3}{147}$$

49\times 5\sqrt{43545}-364816\times 3 ichidagi ko‘paytirishlarni bajaring.

$$\frac{245\sqrt{43545}-1094448}{147}$$

Omil

$$\frac{245 \sqrt{43545} - 1094448}{147} = -7097,433843956595$$