3sqrt{frac{35sqrt{4}}{10sqrt{16}}} eching

$$3 \sqrt{ \frac{ 35 \sqrt{ 4 } }{ 10 \sqrt{ 16 } } }$$

Baholash

$$\frac{3\sqrt{7}}{2}\approx 3,968626967$$

Yechim qadamlari

Surat va maxrajdagi ikkala 5 ni qisqartiring.

$$3\sqrt{\frac{7\sqrt{4}}{2\sqrt{16}}}$$

4 ning kvadrat ildizini hisoblab, 2 natijaga ega bo‘ling.

$$3\sqrt{\frac{7\times 2}{2\sqrt{16}}}$$

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

$$3\sqrt{\frac{14}{2\sqrt{16}}}$$

16 ning kvadrat ildizini hisoblab, 4 natijaga ega bo‘ling.

$$3\sqrt{\frac{14}{2\times 4}}$$

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

$$3\sqrt{\frac{14}{8}}$$

\frac{14}{8} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

\sqrt{\frac{7}{4}} boʻlinmasining kvadrat ildizini \frac{\sqrt{7}}{\sqrt{4}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing.

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

4 ning kvadrat ildizini hisoblab, 2 natijaga ega bo‘ling.

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

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

$$\frac{3\sqrt{7}}{2}$$