(2-sqrt{3})+(1/3)^-1-(3-7sqrt{2})^0-(-1)^2018+sqrt{4}+(1/4)^-2 eching

$$( 2 - \sqrt { 3 } ) + ( \frac { 1 } { 3 } ) ^ { - 1 } - ( 3 - 7 \sqrt { 2 } ) ^ { 0 } - ( - 1 ) ^ { 2018 } + \sqrt { 4 } + ( \frac { 1 } { 4 } ) ^ { - 2 }$$

Baholash

$$21-\sqrt{3}\approx 19,267949192$$

Yechim qadamlari

-1 daraja ko‘rsatkichini \frac{1}{3} ga hisoblang va 3 ni qiymatni oling.

$$2-\sqrt{3}+3-\left(3-7\sqrt{2}\right)^{0}-\left(-1\right)^{2018}+\sqrt{4}+\left(\frac{1}{4}\right)^{-2}$$

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

$$5-\sqrt{3}-\left(3-7\sqrt{2}\right)^{0}-\left(-1\right)^{2018}+\sqrt{4}+\left(\frac{1}{4}\right)^{-2}$$

0 daraja ko‘rsatkichini 3-7\sqrt{2} ga hisoblang va 1 ni qiymatni oling.

$$5-\sqrt{3}-1-\left(-1\right)^{2018}+\sqrt{4}+\left(\frac{1}{4}\right)^{-2}$$

4 olish uchun 5 dan 1 ni ayirish.

$$4-\sqrt{3}-\left(-1\right)^{2018}+\sqrt{4}+\left(\frac{1}{4}\right)^{-2}$$

2018 daraja ko‘rsatkichini -1 ga hisoblang va 1 ni qiymatni oling.

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

3 olish uchun 4 dan 1 ni ayirish.

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

4 ning kvadrat ildizini hisoblab, 2 natijaga ega bo‘ling.

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

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

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

-2 daraja ko‘rsatkichini \frac{1}{4} ga hisoblang va 16 ni qiymatni oling.

$$5-\sqrt{3}+16$$

21 olish uchun 5 va 16'ni qo'shing.

$$21-\sqrt{3}$$