sqrt{111/25}+3sqrt{71/9}-06sqrt{3025} eching

$$\sqrt{ 1 \frac{ 11 }{ 25 } } +3 \sqrt{ 7 \frac{ 1 }{ 9 } } -06 \sqrt{ 3025 }$$

Baholash

$$\frac{46}{5}=9,2$$

Yechim qadamlari

25 hosil qilish uchun 1 va 25 ni ko'paytirish.

$$\sqrt{\frac{25+11}{25}}+3\sqrt{\frac{7\times 9+1}{9}}-0\times 6\sqrt{3025}$$

36 olish uchun 25 va 11'ni qo'shing.

$$\sqrt{\frac{36}{25}}+3\sqrt{\frac{7\times 9+1}{9}}-0\times 6\sqrt{3025}$$

\frac{36}{25} boʻlinmasining kvadrat ildizini \frac{\sqrt{36}}{\sqrt{25}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing. Surat va maxrajni kvadrat ildizdan chiqaring.

$$\frac{6}{5}+3\sqrt{\frac{7\times 9+1}{9}}-0\times 6\sqrt{3025}$$

63 hosil qilish uchun 7 va 9 ni ko'paytirish.

$$\frac{6}{5}+3\sqrt{\frac{63+1}{9}}-0\times 6\sqrt{3025}$$

64 olish uchun 63 va 1'ni qo'shing.

$$\frac{6}{5}+3\sqrt{\frac{64}{9}}-0\times 6\sqrt{3025}$$

\frac{64}{9} boʻlinmasining kvadrat ildizini \frac{\sqrt{64}}{\sqrt{9}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing. Surat va maxrajni kvadrat ildizdan chiqaring.

$$\frac{6}{5}+3\times \frac{8}{3}-0\times 6\sqrt{3025}$$

3 va 3 ni qisqartiring.

$$\frac{6}{5}+8-0\times 6\sqrt{3025}$$

8 ni \frac{40}{5} kasrga o‘giring.

$$\frac{6}{5}+\frac{40}{5}-0\times 6\sqrt{3025}$$

\frac{6}{5} va \frac{40}{5} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{6+40}{5}-0\times 6\sqrt{3025}$$

46 olish uchun 6 va 40'ni qo'shing.

$$\frac{46}{5}-0\times 6\sqrt{3025}$$

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

$$\frac{46}{5}-0\sqrt{3025}$$

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

$$\frac{46}{5}-0\times 55$$

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

$$\frac{46}{5}-0$$

\frac{46}{5} olish uchun \frac{46}{5} dan 0 ni ayirish.

$$\frac{46}{5}$$

Omil

$$\frac{2 \cdot 23}{5} = 9\frac{1}{5} = 9,2$$