8sqrt{049}-3/7*sqrt{54/9}-9/64*sqrt{7744/9801} eching

$$8 \sqrt { 049 } - \frac { 3 } { 7 } \cdot \sqrt { 5 \frac { 4 } { 9 } } - \frac { 9 } { 64 } \cdot \sqrt { \frac { 7744 } { 9801 } }$$

Baholash

$$-\frac{9}{8}=-1,125$$

Yechim qadamlari

0 hosil qilish uchun 0 va 49 ni ko'paytirish.

$$8\sqrt{0}-\frac{3}{7}\sqrt{\frac{5\times 9+4}{9}}-\frac{9}{64}\sqrt{\frac{7744}{9801}}$$

0 ning kvadrat ildizini hisoblab, 0 natijaga ega bo‘ling.

$$8\times 0-\frac{3}{7}\sqrt{\frac{5\times 9+4}{9}}-\frac{9}{64}\sqrt{\frac{7744}{9801}}$$

0 hosil qilish uchun 8 va 0 ni ko'paytirish.

$$0-\frac{3}{7}\sqrt{\frac{5\times 9+4}{9}}-\frac{9}{64}\sqrt{\frac{7744}{9801}}$$

45 hosil qilish uchun 5 va 9 ni ko'paytirish.

$$0-\frac{3}{7}\sqrt{\frac{45+4}{9}}-\frac{9}{64}\sqrt{\frac{7744}{9801}}$$

49 olish uchun 45 va 4'ni qo'shing.

$$0-\frac{3}{7}\sqrt{\frac{49}{9}}-\frac{9}{64}\sqrt{\frac{7744}{9801}}$$

\frac{49}{9} boʻlinmasining kvadrat ildizini \frac{\sqrt{49}}{\sqrt{9}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing. Surat va maxrajni kvadrat ildizdan chiqaring.

$$0-\frac{3}{7}\times \frac{7}{3}-\frac{9}{64}\sqrt{\frac{7744}{9801}}$$

\frac{3}{7} va uning teskari kasrini \frac{7}{3} ni qisqartiring.

$$0-1-\frac{9}{64}\sqrt{\frac{7744}{9801}}$$

-1 olish uchun 0 dan 1 ni ayirish.

$$-1-\frac{9}{64}\sqrt{\frac{7744}{9801}}$$

\frac{7744}{9801} ulushini 121 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-1-\frac{9}{64}\sqrt{\frac{64}{81}}$$

\frac{64}{81} boʻlinmasining kvadrat ildizini \frac{\sqrt{64}}{\sqrt{81}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing. Surat va maxrajni kvadrat ildizdan chiqaring.

$$-1-\frac{9}{64}\times \frac{8}{9}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{9}{64} ni \frac{8}{9} ga ko‘paytiring.

$$-1-\frac{9\times 8}{64\times 9}$$

Surat va maxrajdagi ikkala 9 ni qisqartiring.

$$-1-\frac{8}{64}$$

\frac{8}{64} ulushini 8 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-1-\frac{1}{8}$$

-1 ni -\frac{8}{8} kasrga o‘giring.

$$-\frac{8}{8}-\frac{1}{8}$$

-\frac{8}{8} va \frac{1}{8} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-8-1}{8}$$

-9 olish uchun -8 dan 1 ni ayirish.

$$-\frac{9}{8}$$

Omil

$$-\frac{9}{8} = -1\frac{1}{8} = -1,125$$