(2/7)*sqrt{2}*sqrt{18} eching

$$( \frac{ 2 }{ 7 } ) \times \sqrt{ 2 } \times \sqrt{ 18 }$$

Baholash

$$\frac{12}{7}\approx 1,714285714$$

Yechim qadamlari

Faktor: 18=2\times 9. \sqrt{2\times 9} koʻpaytmasining kvadrat ildizini \sqrt{2}\sqrt{9} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing.

$$\frac{2}{7}\sqrt{2}\sqrt{2}\sqrt{9}$$

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

$$\frac{2}{7}\times 2\sqrt{9}$$

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

$$\frac{2\times 2}{7}\sqrt{9}$$

4 hosil qilish uchun 2 va 2 ni ko'paytirish.

$$\frac{4}{7}\sqrt{9}$$

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

$$\frac{4}{7}\times 3$$

\frac{4}{7}\times 3 ni yagona kasrga aylantiring.

$$\frac{4\times 3}{7}$$

12 hosil qilish uchun 4 va 3 ni ko'paytirish.

$$\frac{12}{7}$$

Omil

$$\frac{2 ^ {2} \cdot 3}{7} = 1\frac{5}{7} = 1,7142857142857142$$