x*25div6^2sqrt{2*6^2} eching

$$x \times 25 \div { 6 }^{ 2 } \sqrt{ 2 \times { 6 }^{ 2 } }$$

Baholash

$$\frac{25\sqrt{2}x}{6}$$

Yechim qadamlari

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

$$\frac{x\times 25}{36}\sqrt{2\times 6^{2}}$$

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

$$\frac{x\times 25}{36}\sqrt{2\times 36}$$

72 hosil qilish uchun 2 va 36 ni ko'paytirish.

$$\frac{x\times 25}{36}\sqrt{72}$$

Faktor: 72=6^{2}\times 2. \sqrt{6^{2}\times 2} koʻpaytmasining kvadrat ildizini \sqrt{6^{2}}\sqrt{2} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 6^{2} ning kvadrat ildizini chiqarish.

$$\frac{x\times 25}{36}\times 6\sqrt{2}$$

6 va 36 ichida eng katta umumiy 36 faktorini bekor qiling.

$$\frac{x\times 25}{6}\sqrt{2}$$

\frac{x\times 25}{6}\sqrt{2} ni yagona kasrga aylantiring.

$$\frac{x\times 25\sqrt{2}}{6}$$

x ga nisbatan hosilani topish

$$\frac{25 \sqrt{2}}{6} = 5,892556509887896$$