5sqrt{435650/90}-{left(6040/90right)}^2 eching

$$5 \sqrt{ \frac{ 435650 }{ 90 } } - { \left( \frac{ 6040 }{ 90 } \right) }^{ 2 }$$

Baholash

$$\frac{5\sqrt{43565}}{3}-\frac{364816}{81}\approx -4156,030728648$$

Qisqa yechim qadamlari

\frac{435650}{90} ulushini 10 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$5\sqrt{\frac{43565}{9}}-\left(\frac{6040}{90}\right)^{2}$$

\sqrt{\frac{43565}{9}} boʻlinmasining kvadrat ildizini \frac{\sqrt{43565}}{\sqrt{9}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing.

$$5\times \frac{\sqrt{43565}}{\sqrt{9}}-\left(\frac{6040}{90}\right)^{2}$$

9 ning kvadrat ildizini hisoblab, 3 natijaga ega bo‘ling.

$$5\times \frac{\sqrt{43565}}{3}-\left(\frac{6040}{90}\right)^{2}$$

5\times \frac{\sqrt{43565}}{3} ni yagona kasrga aylantiring.

$$\frac{5\sqrt{43565}}{3}-\left(\frac{6040}{90}\right)^{2}$$

\frac{6040}{90} ulushini 10 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{5\sqrt{43565}}{3}-\left(\frac{604}{9}\right)^{2}$$

2 daraja ko‘rsatkichini \frac{604}{9} ga hisoblang va \frac{364816}{81} ni qiymatni oling.

$$\frac{5\sqrt{43565}}{3}-\frac{364816}{81}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 3 va 81 ning eng kichik umumiy karralisi 81. \frac{5\sqrt{43565}}{3} ni \frac{27}{27} marotabaga ko'paytirish.

$$\frac{27\times 5\sqrt{43565}}{81}-\frac{364816}{81}$$

\frac{27\times 5\sqrt{43565}}{81} va \frac{364816}{81} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{27\times 5\sqrt{43565}-364816}{81}$$

27\times 5\sqrt{43565}-364816 ichidagi ko‘paytirishlarni bajaring.

$$\frac{135\sqrt{43565}-364816}{81}$$

Omil

$$\frac{135 \sqrt{43565} - 364816}{81} = -4156,030728648114$$