sqrt{15/4}+22/3*(11/2)^2-3div11/5= eching

$$\sqrt { 1 \frac { 5 } { 4 } } + 2 \frac { 2 } { 3 } \cdot ( 1 \frac { 1 } { 2 } ) ^ { 2 } - 3 \div 1 \frac { 1 } { 5 } =$$

Baholash

$$5$$

Yechim qadamlari

4 hosil qilish uchun 1 va 4 ni ko'paytirish.

$$\sqrt{\frac{4+5}{4}}+\frac{2\times 3+2}{3}\times \left(\frac{1\times 2+1}{2}\right)^{2}-\frac{3}{\frac{1\times 5+1}{5}}$$

9 olish uchun 4 va 5'ni qo'shing.

$$\sqrt{\frac{9}{4}}+\frac{2\times 3+2}{3}\times \left(\frac{1\times 2+1}{2}\right)^{2}-\frac{3}{\frac{1\times 5+1}{5}}$$

\frac{9}{4} boʻlinmasining kvadrat ildizini \frac{\sqrt{9}}{\sqrt{4}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing. Surat va maxrajni kvadrat ildizdan chiqaring.

$$\frac{3}{2}+\frac{2\times 3+2}{3}\times \left(\frac{1\times 2+1}{2}\right)^{2}-\frac{3}{\frac{1\times 5+1}{5}}$$

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

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

8 olish uchun 6 va 2'ni qo'shing.

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

2 hosil qilish uchun 1 va 2 ni ko'paytirish.

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

3 olish uchun 2 va 1'ni qo'shing.

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

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

$$\frac{3}{2}+\frac{8}{3}\times \frac{9}{4}-\frac{3}{\frac{1\times 5+1}{5}}$$

6 hosil qilish uchun \frac{8}{3} va \frac{9}{4} ni ko'paytirish.

$$\frac{3}{2}+6-\frac{3}{\frac{1\times 5+1}{5}}$$

\frac{15}{2} olish uchun \frac{3}{2} va 6'ni qo'shing.

$$\frac{15}{2}-\frac{3}{\frac{1\times 5+1}{5}}$$

3 ni \frac{1\times 5+1}{5} ga bo'lish 3 ga k'paytirish \frac{1\times 5+1}{5} ga qaytarish.

$$\frac{15}{2}-\frac{3\times 5}{1\times 5+1}$$

15 hosil qilish uchun 3 va 5 ni ko'paytirish.

$$\frac{15}{2}-\frac{15}{1\times 5+1}$$

5 hosil qilish uchun 1 va 5 ni ko'paytirish.

$$\frac{15}{2}-\frac{15}{5+1}$$

6 olish uchun 5 va 1'ni qo'shing.

$$\frac{15}{2}-\frac{15}{6}$$

\frac{15}{6} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{15}{2}-\frac{5}{2}$$

5 olish uchun \frac{15}{2} dan \frac{5}{2} ni ayirish.

$$5$$

Omil

$$5$$