2*[sqrt{3}-sqrt{(-3)^2}]*sqrt{3}+3sqrt{3} eching

$$2 \cdot [ \sqrt { 3 } - \sqrt { ( - 3 ) ^ { 2 } } ] \times \sqrt { 3 } + 3 \sqrt { 3 }$$

Baholash

$$6-3\sqrt{3}\approx 0,803847577$$

Yechim qadamlari

2 daraja ko‘rsatkichini -3 ga hisoblang va 9 ni qiymatni oling.

$$2\left(\sqrt{3}-\sqrt{9}\right)\sqrt{3}+3\sqrt{3}$$

9 ning kvadrat ildizini hisoblab, 3 natijaga ega bo‘ling.

$$2\left(\sqrt{3}-3\right)\sqrt{3}+3\sqrt{3}$$

2 ga \sqrt{3}-3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\left(2\sqrt{3}-6\right)\sqrt{3}+3\sqrt{3}$$

2\sqrt{3}-6 ga \sqrt{3} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2\left(\sqrt{3}\right)^{2}-6\sqrt{3}+3\sqrt{3}$$

\sqrt{3} kvadrati – 3.

$$2\times 3-6\sqrt{3}+3\sqrt{3}$$

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

$$6-6\sqrt{3}+3\sqrt{3}$$

-3\sqrt{3} ni olish uchun -6\sqrt{3} va 3\sqrt{3} ni birlashtirish.

$$6-3\sqrt{3}$$

Omil

$$3 {(2 - \sqrt{3})} = 0,803847577$$