sqrt{8}sqrt{3}-2lceil-5rceil+-{left(1/3right)}^2 eching

$$\sqrt{ 8 } \sqrt{ 3 } -2 \lceil -5 \rceil +- { \left( \frac{ 1 }{ 3 } \right) }^{ 2 }$$

Baholash

$$2\sqrt{6}+\frac{89}{9}\approx 14,787868374$$

Yechim qadamlari

Faktor: 8=2^{2}\times 2. \sqrt{2^{2}\times 2} koʻpaytmasining kvadrat ildizini \sqrt{2^{2}}\sqrt{2} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 2^{2} ning kvadrat ildizini chiqarish.

$$2\sqrt{2}\sqrt{3}-2\lceil -5\rceil -\left(\frac{1}{3}\right)^{2}$$

\sqrt{2} va \sqrt{3} ni koʻpaytirish uchun kvadrat ildiz ichidagi sonlarni koʻpaytiring.

$$2\sqrt{6}-2\lceil -5\rceil -\left(\frac{1}{3}\right)^{2}$$

a haqiqiy sonning potolok funksiyasi a dan katta eng kichik butun songa yoki o‘ziga teng. -5 ning potologi -5 ga teng.

$$2\sqrt{6}-2\left(-5\right)-\left(\frac{1}{3}\right)^{2}$$

-10 hosil qilish uchun 2 va -5 ni ko'paytirish.

$$2\sqrt{6}-\left(-10\right)-\left(\frac{1}{3}\right)^{2}$$

-10 ning teskarisi 10 ga teng.

$$2\sqrt{6}+10-\left(\frac{1}{3}\right)^{2}$$

2 daraja ko‘rsatkichini \frac{1}{3} ga hisoblang va \frac{1}{9} ni qiymatni oling.

$$2\sqrt{6}+10-\frac{1}{9}$$

10 ni \frac{90}{9} kasrga o‘giring.

$$2\sqrt{6}+\frac{90}{9}-\frac{1}{9}$$

\frac{90}{9} va \frac{1}{9} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$2\sqrt{6}+\frac{90-1}{9}$$

89 olish uchun 90 dan 1 ni ayirish.

$$2\sqrt{6}+\frac{89}{9}$$

Omil

$$\frac{18 \sqrt{6} + 89}{9} = 14,787868374455245$$