1/3sqrt{081}-2sqrt{61/4}+1/10sqrt{64+36} eching

$$\frac { 1 } { 3 } \sqrt { 081 } - 2 \sqrt { 6 \frac { 1 } { 4 } } + \frac { 1 } { 10 } \sqrt { 64 + 36 }$$

Baholash

$$-4$$

Yechim qadamlari

0 hosil qilish uchun 0 va 81 ni ko'paytirish.

$$\frac{1}{3}\sqrt{0}-2\sqrt{\frac{6\times 4+1}{4}}+\frac{1}{10}\sqrt{64+36}$$

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

$$\frac{1}{3}\times 0-2\sqrt{\frac{6\times 4+1}{4}}+\frac{1}{10}\sqrt{64+36}$$

0 hosil qilish uchun \frac{1}{3} va 0 ni ko'paytirish.

$$0-2\sqrt{\frac{6\times 4+1}{4}}+\frac{1}{10}\sqrt{64+36}$$

24 hosil qilish uchun 6 va 4 ni ko'paytirish.

$$0-2\sqrt{\frac{24+1}{4}}+\frac{1}{10}\sqrt{64+36}$$

25 olish uchun 24 va 1'ni qo'shing.

$$0-2\sqrt{\frac{25}{4}}+\frac{1}{10}\sqrt{64+36}$$

\frac{25}{4} boʻlinmasining kvadrat ildizini \frac{\sqrt{25}}{\sqrt{4}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing. Surat va maxrajni kvadrat ildizdan chiqaring.

$$0-2\times \frac{5}{2}+\frac{1}{10}\sqrt{64+36}$$

2 va 2 ni qisqartiring.

$$0-5+\frac{1}{10}\sqrt{64+36}$$

-5 olish uchun 0 dan 5 ni ayirish.

$$-5+\frac{1}{10}\sqrt{64+36}$$

100 olish uchun 64 va 36'ni qo'shing.

$$-5+\frac{1}{10}\sqrt{100}$$

100 ning kvadrat ildizini hisoblab, 10 natijaga ega bo‘ling.

$$-5+\frac{1}{10}\times 10$$

10 va 10 ni qisqartiring.

$$-5+1$$

-4 olish uchun -5 va 1'ni qo'shing.

$$-4$$

Omil

$$-4$$