7/4-sqrt[3]{(3/2)^2+2^-1+1}= eching

$$\frac { 7 } { 4 } - \sqrt[ 3 ] { ( \frac { 3 } { 2 } ) ^ { 2 } + 2 ^ { - 1 } + 1 } =$$

Baholash

$$-\frac{\sqrt[3]{30}}{2}+\frac{7}{4}\approx 0,196383747$$

Yechim qadamlari

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

$$\frac{7}{4}-\sqrt[3]{\frac{9}{4}+2^{-1}+1}$$

-1 daraja ko‘rsatkichini 2 ga hisoblang va \frac{1}{2} ni qiymatni oling.

$$\frac{7}{4}-\sqrt[3]{\frac{9}{4}+\frac{1}{2}+1}$$

\frac{11}{4} olish uchun \frac{9}{4} va \frac{1}{2}'ni qo'shing.

$$\frac{7}{4}-\sqrt[3]{\frac{11}{4}+1}$$

\frac{15}{4} olish uchun \frac{11}{4} va 1'ni qo'shing.

$$\frac{7}{4}-\sqrt[3]{\frac{15}{4}}$$

Omil

$$\frac{7 - 2 \sqrt[3]{30}}{4} = 0,1963837470230707$$