(frac{sqrt{52}9-4^3-3}{4^2})-[52(2)/23] eching

$$( \frac { \sqrt { 52 } 9 - 4 ^ { 3 } - 3 } { 4 ^ { 2 } } ) - [ \frac { 52 ( 2 ) } { 23 } ]$$

Baholash

$$\frac{9\sqrt{13}}{8}-\frac{3205}{368}\approx -4,652993946$$

Qisqa yechim qadamlari

Faktor: 52=2^{2}\times 13. \sqrt{2^{2}\times 13} koʻpaytmasining kvadrat ildizini \sqrt{2^{2}}\sqrt{13} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 2^{2} ning kvadrat ildizini chiqarish.

$$\frac{9\times 2\sqrt{13}-4^{3}-3}{4^{2}}-\frac{52\times 2}{23}$$

18 hosil qilish uchun 9 va 2 ni ko'paytirish.

$$\frac{18\sqrt{13}-4^{3}-3}{4^{2}}-\frac{52\times 2}{23}$$

3 daraja ko‘rsatkichini 4 ga hisoblang va 64 ni qiymatni oling.

$$\frac{18\sqrt{13}-64-3}{4^{2}}-\frac{52\times 2}{23}$$

-67 olish uchun -64 dan 3 ni ayirish.

$$\frac{18\sqrt{13}-67}{4^{2}}-\frac{52\times 2}{23}$$

2 daraja ko‘rsatkichini 4 ga hisoblang va 16 ni qiymatni oling.

$$\frac{18\sqrt{13}-67}{16}-\frac{52\times 2}{23}$$

104 hosil qilish uchun 52 va 2 ni ko'paytirish.

$$\frac{18\sqrt{13}-67}{16}-\frac{104}{23}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 16 va 23 ning eng kichik umumiy karralisi 368. \frac{18\sqrt{13}-67}{16} ni \frac{23}{23} marotabaga ko'paytirish. \frac{104}{23} ni \frac{16}{16} marotabaga ko'paytirish.

$$\frac{23\left(18\sqrt{13}-67\right)}{368}-\frac{104\times 16}{368}$$

\frac{23\left(18\sqrt{13}-67\right)}{368} va \frac{104\times 16}{368} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{23\left(18\sqrt{13}-67\right)-104\times 16}{368}$$

23\left(18\sqrt{13}-67\right)-104\times 16 ichidagi ko‘paytirishlarni bajaring.

$$\frac{414\sqrt{13}-1541-1664}{368}$$

414\sqrt{13}-1541-1664 hisob-kitobini qiling.

$$\frac{414\sqrt{13}-3205}{368}$$

Omil

$$\frac{414 \sqrt{13} - 3205}{368} = -4,652993945537795$$