sqrt{(1+6^2)[(144/36)^2-4*121/36} eching

$$\sqrt { ( 1 + 6 ^ { 2 } ) [ ( \frac { 144 } { 36 } ) ^ { 2 } - 4 \times \frac { 121 } { 36 } }$$

Baholash

$$\frac{\sqrt{851}}{3}\approx 9,723968097$$

Yechim qadamlari

2 daraja ko‘rsatkichini 6 ga hisoblang va 36 ni qiymatni oling.

$$\sqrt{\left(1+36\right)\left(\left(\frac{144}{36}\right)^{2}-4\times \frac{121}{36}\right)}$$

37 olish uchun 1 va 36'ni qo'shing.

$$\sqrt{37\left(\left(\frac{144}{36}\right)^{2}-4\times \frac{121}{36}\right)}$$

4 ni olish uchun 144 ni 36 ga bo‘ling.

$$\sqrt{37\left(4^{2}-4\times \frac{121}{36}\right)}$$

2 daraja ko‘rsatkichini 4 ga hisoblang va 16 ni qiymatni oling.

$$\sqrt{37\left(16-4\times \frac{121}{36}\right)}$$

\frac{121}{9} hosil qilish uchun 4 va \frac{121}{36} ni ko'paytirish.

$$\sqrt{37\left(16-\frac{121}{9}\right)}$$

\frac{23}{9} olish uchun 16 dan \frac{121}{9} ni ayirish.

$$\sqrt{37\times \frac{23}{9}}$$

\frac{851}{9} hosil qilish uchun 37 va \frac{23}{9} ni ko'paytirish.

$$\sqrt{\frac{851}{9}}$$

\sqrt{\frac{851}{9}} boʻlinmasining kvadrat ildizini \frac{\sqrt{851}}{\sqrt{9}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing.

$$\frac{\sqrt{851}}{\sqrt{9}}$$

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

$$\frac{\sqrt{851}}{3}$$