=sqrt{8}-2sin45^circ+(1/2)^-1 eching

$$= \sqrt { 8 } - 2 \sin 45 ^ { \circ } + ( \frac { 1 } { 2 } ) ^ { - 1 }$$

Baholash

$$\sqrt{2}+2\approx 3,414213562$$

Yechim qadamlari

Faktor: 8=2^{2}\times 2. \sqrt{2^{2}\times 2} koʻpaytmasining kvadrat ildizini \sqrt{2^{2}}\sqrt{2} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 2^{2} ning kvadrat ildizini chiqarish.

$$2\sqrt{2}-2\sin(45)+\left(\frac{1}{2}\right)^{-1}$$

Trigonometrik qiymatlar jadvaldan \sin(45) qiymatini oling.

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

2 va 2 ni qisqartiring.

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

\sqrt{2} ni olish uchun 2\sqrt{2} va -\sqrt{2} ni birlashtirish.

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

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

$$\sqrt{2}+2$$