(sqrt{82}-sqrt{2})*sqrt{2} eching

$$( \sqrt { 82 } - \sqrt { 2 } ) \cdot \sqrt { 2 }$$

Baholash

$$2\left(\sqrt{41}-1\right)\approx 10,806248475$$

Yechim qadamlari

\sqrt{82}-\sqrt{2} ga \sqrt{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\sqrt{82}\sqrt{2}-\left(\sqrt{2}\right)^{2}$$

Faktor: 82=2\times 41. \sqrt{2\times 41} koʻpaytmasining kvadrat ildizini \sqrt{2}\sqrt{41} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing.

$$\sqrt{2}\sqrt{41}\sqrt{2}-\left(\sqrt{2}\right)^{2}$$

2 hosil qilish uchun \sqrt{2} va \sqrt{2} ni ko'paytirish.

$$2\sqrt{41}-\left(\sqrt{2}\right)^{2}$$

\sqrt{2} kvadrati – 2.

$$2\sqrt{41}-2$$