-frac{sqrt{3}}{4}*(3/2sqrt{3})^2-frac{sqrt{3}}{2}*3/2sqrt{3}+2sqrt{3} eching

$$- \frac { \sqrt { 3 } } { 4 } \times ( \frac { 3 } { 2 } \sqrt { 3 } ) ^ { 2 } - \frac { \sqrt { 3 } } { 2 } \times \frac { 3 } { 2 } \sqrt { 3 } + 2 \sqrt { 3 }$$

Baholash

$$\frac{5\sqrt{3}}{16}-\frac{9}{4}\approx -1,708734123$$

Qisqa yechim qadamlari

\left(\frac{3}{2}\sqrt{3}\right)^{2} ni kengaytirish.

$$\left(-\frac{\sqrt{3}}{4}\right)\times \left(\frac{3}{2}\right)^{2}\left(\sqrt{3}\right)^{2}-\frac{\sqrt{3}}{2}\times \frac{3}{2}\sqrt{3}+2\sqrt{3}$$

2 daraja ko‘rsatkichini \frac{3}{2} ga hisoblang va \frac{9}{4} ni qiymatni oling.

$$\left(-\frac{\sqrt{3}}{4}\right)\times \frac{9}{4}\left(\sqrt{3}\right)^{2}-\frac{\sqrt{3}}{2}\times \frac{3}{2}\sqrt{3}+2\sqrt{3}$$

\sqrt{3} kvadrati – 3.

$$\left(-\frac{\sqrt{3}}{4}\right)\times \frac{9}{4}\times 3-\frac{\sqrt{3}}{2}\times \frac{3}{2}\sqrt{3}+2\sqrt{3}$$

\frac{27}{4} hosil qilish uchun \frac{9}{4} va 3 ni ko'paytirish.

$$\left(-\frac{\sqrt{3}}{4}\right)\times \frac{27}{4}-\frac{\sqrt{3}}{2}\times \frac{3}{2}\sqrt{3}+2\sqrt{3}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{\sqrt{3}}{4} ni \frac{27}{4} ga ko‘paytiring.

$$\frac{-\sqrt{3}\times 27}{4\times 4}-\frac{\sqrt{3}}{2}\times \frac{3}{2}\sqrt{3}+2\sqrt{3}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{\sqrt{3}}{2} ni \frac{3}{2} ga ko‘paytiring.

$$\frac{-\sqrt{3}\times 27}{4\times 4}-\frac{\sqrt{3}\times 3}{2\times 2}\sqrt{3}+2\sqrt{3}$$

\frac{\sqrt{3}\times 3}{2\times 2}\sqrt{3} ni yagona kasrga aylantiring.

$$\frac{-\sqrt{3}\times 27}{4\times 4}-\frac{\sqrt{3}\times 3\sqrt{3}}{2\times 2}+2\sqrt{3}$$

3 hosil qilish uchun \sqrt{3} va \sqrt{3} ni ko'paytirish.

$$\frac{-\sqrt{3}\times 27}{4\times 4}-\frac{3\times 3}{2\times 2}+2\sqrt{3}$$

9 hosil qilish uchun 3 va 3 ni ko'paytirish.

$$\frac{-\sqrt{3}\times 27}{4\times 4}-\frac{9}{2\times 2}+2\sqrt{3}$$

4 hosil qilish uchun 2 va 2 ni ko'paytirish.

$$\frac{-\sqrt{3}\times 27}{4\times 4}-\frac{9}{4}+2\sqrt{3}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 4\times 4 va 4 ning eng kichik umumiy karralisi 4\times 4. \frac{9}{4} ni \frac{4}{4} marotabaga ko'paytirish.

$$\frac{-\sqrt{3}\times 27}{4\times 4}-\frac{9\times 4}{4\times 4}+2\sqrt{3}$$

\frac{-\sqrt{3}\times 27}{4\times 4} va \frac{9\times 4}{4\times 4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-\sqrt{3}\times 27-9\times 4}{4\times 4}+2\sqrt{3}$$

-\sqrt{3}\times 27-9\times 4 ichidagi ko‘paytirishlarni bajaring.

$$\frac{-27\sqrt{3}-36}{4\times 4}+2\sqrt{3}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2\sqrt{3} ni \frac{4\times 4}{4\times 4} marotabaga ko'paytirish.

$$\frac{-27\sqrt{3}-36}{4\times 4}+\frac{2\sqrt{3}\times 4\times 4}{4\times 4}$$

\frac{-27\sqrt{3}-36}{4\times 4} va \frac{2\sqrt{3}\times 4\times 4}{4\times 4} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-27\sqrt{3}-36+2\sqrt{3}\times 4\times 4}{4\times 4}$$

-27\sqrt{3}-36+2\sqrt{3}\times 4\times 4 ichidagi ko‘paytirishlarni bajaring.

$$\frac{-27\sqrt{3}-36+32\sqrt{3}}{4\times 4}$$

-27\sqrt{3}-36+32\sqrt{3} hisob-kitobini qiling.

$$\frac{5\sqrt{3}-36}{4\times 4}$$

4\times 4 ni kengaytirish.

$$\frac{5\sqrt{3}-36}{16}$$

Omil

$$\frac{5 \sqrt{3} - 36}{16} = -1,708734122634726$$