2/sqrt{3}+12/sqrt{27} eching

$$\frac { 2 } { \sqrt { 3 } } + \frac { 12 } { \sqrt { 27 } }$$

Baholash

$$2\sqrt{3}\approx 3,464101615$$

Yechim qadamlari

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

$$\frac{2\sqrt{3}}{\left(\sqrt{3}\right)^{2}}+\frac{12}{\sqrt{27}}$$

\sqrt{3} kvadrati – 3.

$$\frac{2\sqrt{3}}{3}+\frac{12}{\sqrt{27}}$$

Faktor: 27=3^{2}\times 3. \sqrt{3^{2}\times 3} koʻpaytmasining kvadrat ildizini \sqrt{3^{2}}\sqrt{3} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 3^{2} ning kvadrat ildizini chiqarish.

$$\frac{2\sqrt{3}}{3}+\frac{12}{3\sqrt{3}}$$

\frac{12}{3\sqrt{3}} maxrajini \sqrt{3} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{2\sqrt{3}}{3}+\frac{12\sqrt{3}}{3\left(\sqrt{3}\right)^{2}}$$

\sqrt{3} kvadrati – 3.

$$\frac{2\sqrt{3}}{3}+\frac{12\sqrt{3}}{3\times 3}$$

Surat va maxrajdagi ikkala 3 ni qisqartiring.

$$\frac{2\sqrt{3}}{3}+\frac{4\sqrt{3}}{3}$$

2\sqrt{3} ni olish uchun \frac{2\sqrt{3}}{3} va \frac{4\sqrt{3}}{3} ni birlashtirish.

$$2\sqrt{3}$$