-(4)divsqrt{(4)^2-4}*(2) eching

$$- ( 4 ) \div \sqrt { ( 4 ) ^ { 2 } - 4 } \cdot ( 2 )$$

Baholash

$$-\frac{4\sqrt{3}}{3}\approx -2,309401077$$

Yechim qadamlari

2 daraja ko‘rsatkichini 4 ga hisoblang va 16 ni qiymatni oling.

$$\frac{-4}{\sqrt{16-4}}\times 2$$

12 olish uchun 16 dan 4 ni ayirish.

$$\frac{-4}{\sqrt{12}}\times 2$$

Faktor: 12=2^{2}\times 3. \sqrt{2^{2}\times 3} koʻpaytmasining kvadrat ildizini \sqrt{2^{2}}\sqrt{3} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 2^{2} ning kvadrat ildizini chiqarish.

$$\frac{-4}{2\sqrt{3}}\times 2$$

\frac{-4}{2\sqrt{3}} maxrajini \sqrt{3} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

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

\sqrt{3} kvadrati – 3.

$$\frac{-4\sqrt{3}}{2\times 3}\times 2$$

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$\frac{-2\sqrt{3}}{3}\times 2$$

\frac{-2\sqrt{3}}{3}\times 2 ni yagona kasrga aylantiring.

$$\frac{-2\sqrt{3}\times 2}{3}$$

-4 hosil qilish uchun -2 va 2 ni ko'paytirish.

$$\frac{-4\sqrt{3}}{3}$$