sqrt{60*10*32-240*65/frac{1{2}*60}} eching

$$\sqrt { \frac { 60 \times 10 \times 32 - 240 \times 65 } { \frac { 1 } { 2 } \times 60 } }$$

Baholash

$$2\sqrt{30}\approx 10,95445115$$

Yechim qadamlari

600 hosil qilish uchun 60 va 10 ni ko'paytirish.

$$\sqrt{\frac{600\times 32-240\times 65}{\frac{1}{2}\times 60}}$$

19200 hosil qilish uchun 600 va 32 ni ko'paytirish.

$$\sqrt{\frac{19200-240\times 65}{\frac{1}{2}\times 60}}$$

15600 hosil qilish uchun 240 va 65 ni ko'paytirish.

$$\sqrt{\frac{19200-15600}{\frac{1}{2}\times 60}}$$

3600 olish uchun 19200 dan 15600 ni ayirish.

$$\sqrt{\frac{3600}{\frac{1}{2}\times 60}}$$

\frac{60}{2} hosil qilish uchun \frac{1}{2} va 60 ni ko'paytirish.

$$\sqrt{\frac{3600}{\frac{60}{2}}}$$

30 ni olish uchun 60 ni 2 ga bo‘ling.

$$\sqrt{\frac{3600}{30}}$$

120 ni olish uchun 3600 ni 30 ga bo‘ling.

$$\sqrt{120}$$

Faktor: 120=2^{2}\times 30. \sqrt{2^{2}\times 30} koʻpaytmasining kvadrat ildizini \sqrt{2^{2}}\sqrt{30} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 2^{2} ning kvadrat ildizini chiqarish.

$$2\sqrt{30}$$