sqrt{11/25}+3sqrt{71/9}-06sqrt{3025} eching

$$\sqrt { \frac { 11 } { 25 } } + 3 \sqrt { \frac { 71 } { 9 } } - 06 \sqrt { 3025 }$$

Baholash

$$\frac{\sqrt{11}}{5}+\sqrt{71}\approx 9,089474731$$

Qisqa yechim qadamlari

\sqrt{\frac{11}{25}} boʻlinmasining kvadrat ildizini \frac{\sqrt{11}}{\sqrt{25}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing.

$$\frac{\sqrt{11}}{\sqrt{25}}+3\sqrt{\frac{71}{9}}-0\times 6\sqrt{3025}$$

25 ning kvadrat ildizini hisoblab, 5 natijaga ega bo‘ling.

$$\frac{\sqrt{11}}{5}+3\sqrt{\frac{71}{9}}-0\times 6\sqrt{3025}$$

\sqrt{\frac{71}{9}} boʻlinmasining kvadrat ildizini \frac{\sqrt{71}}{\sqrt{9}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing.

$$\frac{\sqrt{11}}{5}+3\times \frac{\sqrt{71}}{\sqrt{9}}-0\times 6\sqrt{3025}$$

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

$$\frac{\sqrt{11}}{5}+3\times \frac{\sqrt{71}}{3}-0\times 6\sqrt{3025}$$

3 va 3 ni qisqartiring.

$$\frac{\sqrt{11}}{5}+\sqrt{71}-0\times 6\sqrt{3025}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. \sqrt{71} ni \frac{5}{5} marotabaga ko'paytirish.

$$\frac{\sqrt{11}}{5}+\frac{5\sqrt{71}}{5}-0\times 6\sqrt{3025}$$

\frac{\sqrt{11}}{5} va \frac{5\sqrt{71}}{5} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\sqrt{11}+5\sqrt{71}}{5}-0\times 6\sqrt{3025}$$

0 hosil qilish uchun 0 va 6 ni ko'paytirish.

$$\frac{\sqrt{11}+5\sqrt{71}}{5}-0\sqrt{3025}$$

3025 ning kvadrat ildizini hisoblab, 55 natijaga ega bo‘ling.

$$\frac{\sqrt{11}+5\sqrt{71}}{5}-0\times 55$$

0 hosil qilish uchun 0 va 55 ni ko'paytirish.

$$\frac{\sqrt{11}+5\sqrt{71}}{5}-0$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 0 ni \frac{5}{5} marotabaga ko'paytirish.

$$\frac{\sqrt{11}+5\sqrt{71}}{5}-\frac{0\times 5}{5}$$

\frac{\sqrt{11}+5\sqrt{71}}{5} va \frac{0\times 5}{5} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\sqrt{11}+5\sqrt{71}-0\times 5}{5}$$

\sqrt{11}+5\sqrt{71}-0\times 5 ichidagi ko‘paytirishlarni bajaring.

$$\frac{\sqrt{11}+5\sqrt{71}}{5}$$