frac{sqrt{3}2}{3}-frac{sqrt{8}}{5} eching

$$\frac { \sqrt { 3 } 2 } { 3 } - \frac { \sqrt { 8 } } { 5 }$$

Baholash

$$\frac{2\sqrt{3}}{3}-\frac{2\sqrt{2}}{5}\approx 0,589015113$$

Qisqa yechim qadamlari

Faktor: 8=2^{2}\times 2. \sqrt{2^{2}\times 2} koʻpaytmasining kvadrat ildizini \sqrt{2^{2}}\sqrt{2} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 2^{2} ning kvadrat ildizini chiqarish.

$$\frac{2\sqrt{3}}{3}-\frac{2\sqrt{2}}{5}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 3 va 5 ning eng kichik umumiy karralisi 15. \frac{2\sqrt{3}}{3} ni \frac{5}{5} marotabaga ko'paytirish. \frac{2\sqrt{2}}{5} ni \frac{3}{3} marotabaga ko'paytirish.

$$\frac{5\times 2\sqrt{3}}{15}-\frac{3\times 2\sqrt{2}}{15}$$

\frac{5\times 2\sqrt{3}}{15} va \frac{3\times 2\sqrt{2}}{15} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{5\times 2\sqrt{3}-3\times 2\sqrt{2}}{15}$$

5\times 2\sqrt{3}-3\times 2\sqrt{2} ichidagi ko‘paytirishlarni bajaring.

$$\frac{10\sqrt{3}-6\sqrt{2}}{15}$$

Omil

$$\frac{2 {(5 \sqrt{3} - 3 \sqrt{2})}}{15} = 0,5890151134300133$$