(sqrt{6}+sqrt{3})sqrt{6}-sqrt{3}) eching

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

Baholash

$$3\sqrt{2}+6-\sqrt{3}\approx 8,51058988$$

Yechim qadamlari

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

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

\sqrt{6} kvadrati – 6.

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

Faktor: 6=3\times 2. \sqrt{3\times 2} koʻpaytmasining kvadrat ildizini \sqrt{3}\sqrt{2} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing.

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

3 hosil qilish uchun \sqrt{3} va \sqrt{3} ni ko'paytirish.

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