θ-7sqrt{8}div-6sqrt{8} eching

$$\theta - 7 \sqrt { 8 } \div - 6 \sqrt { 8 }$$

Baholash

$$\theta +\frac{28}{3}$$

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.

$$\theta -\frac{7\times 2\sqrt{2}}{-6}\sqrt{8}$$

14 hosil qilish uchun 7 va 2 ni ko'paytirish.

$$\theta -\frac{14\sqrt{2}}{-6}\sqrt{8}$$

-\frac{7}{3}\sqrt{2} ni olish uchun 14\sqrt{2} ni -6 ga bo‘ling.

$$\theta -\left(-\frac{7}{3}\sqrt{2}\sqrt{8}\right)$$

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.

$$\theta -\left(-\frac{7}{3}\sqrt{2}\times 2\sqrt{2}\right)$$

-\frac{7}{3}\times 2 ni yagona kasrga aylantiring.

$$\theta -\frac{-7\times 2}{3}\sqrt{2}\sqrt{2}$$

-14 hosil qilish uchun -7 va 2 ni ko'paytirish.

$$\theta -\frac{-14}{3}\sqrt{2}\sqrt{2}$$

\frac{-14}{3} kasri manfiy belgini olib tashlash bilan -\frac{14}{3} sifatida qayta yozilishi mumkin.

$$\theta -\left(-\frac{14}{3}\sqrt{2}\sqrt{2}\right)$$

2 hosil qilish uchun \sqrt{2} va \sqrt{2} ni ko'paytirish.

$$\theta -\left(-\frac{14}{3}\times 2\right)$$

-\frac{14}{3}\times 2 ni yagona kasrga aylantiring.

$$\theta -\frac{-14\times 2}{3}$$

-28 hosil qilish uchun -14 va 2 ni ko'paytirish.

$$\theta -\frac{-28}{3}$$

\frac{-28}{3} kasri manfiy belgini olib tashlash bilan -\frac{28}{3} sifatida qayta yozilishi mumkin.

$$\theta -\left(-\frac{28}{3}\right)$$

-\frac{28}{3} ning teskarisi \frac{28}{3} ga teng.

$$\theta +\frac{28}{3}$$

Omil

$$\frac{3\theta +28}{3}$$

Yechim qadamlari

\frac{1}{6} omili.

$$\frac{6\theta +28\left(\sqrt{2}\right)^{2}}{6}$$

Hisoblang: 6\theta +56. 2 omili.

$$2\left(3\theta +28\right)$$

Toʻliq ajratilgan ifodani qaytadan yozing.

$$\frac{3\theta +28}{3}$$