sqrt{(17-8)}:sqrt{(54+16)}*2-5 eching

$$\sqrt { ( 17 - 8 ) } : \sqrt { ( 54 + 16 ) } \cdot 2 - 5$$

Baholash

$$\frac{3\sqrt{70}}{35}-5\approx -4,282862834$$

Qisqa yechim qadamlari

9 olish uchun 17 dan 8 ni ayirish.

$$2\times \frac{\sqrt{9}}{\sqrt{54+16}}-5$$

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

$$2\times \frac{3}{\sqrt{54+16}}-5$$

70 olish uchun 54 va 16'ni qo'shing.

$$2\times \frac{3}{\sqrt{70}}-5$$

\frac{3}{\sqrt{70}} maxrajini \sqrt{70} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

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

\sqrt{70} kvadrati – 70.

$$2\times \frac{3\sqrt{70}}{70}-5$$

2 va 70 ichida eng katta umumiy 70 faktorini bekor qiling.

$$\frac{3\sqrt{70}}{35}-5$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 5 ni \frac{35}{35} marotabaga ko'paytirish.

$$\frac{3\sqrt{70}}{35}-\frac{5\times 35}{35}$$

\frac{3\sqrt{70}}{35} va \frac{5\times 35}{35} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{3\sqrt{70}-5\times 35}{35}$$

3\sqrt{70}-5\times 35 ichidagi ko‘paytirishlarni bajaring.

$$\frac{3\sqrt{70}-175}{35}$$