300*22/sqrt{616} eching

$$300 \times \frac { 22 } { \sqrt { 616 } }$$

Baholash

$$\frac{150\sqrt{154}}{7}\approx 265,921578128$$

Yechim qadamlari

Faktor: 616=2^{2}\times 154. \sqrt{2^{2}\times 154} koʻpaytmasining kvadrat ildizini \sqrt{2^{2}}\sqrt{154} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 2^{2} ning kvadrat ildizini chiqarish.

$$300\times \frac{22}{2\sqrt{154}}$$

\frac{22}{2\sqrt{154}} maxrajini \sqrt{154} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$300\times \frac{22\sqrt{154}}{2\left(\sqrt{154}\right)^{2}}$$

\sqrt{154} kvadrati – 154.

$$300\times \frac{22\sqrt{154}}{2\times 154}$$

Surat va maxrajdagi ikkala 2\times 11 ni qisqartiring.

$$300\times \frac{\sqrt{154}}{14}$$

300\times \frac{\sqrt{154}}{14} ni yagona kasrga aylantiring.

$$\frac{300\sqrt{154}}{14}$$

\frac{150}{7}\sqrt{154} ni olish uchun 300\sqrt{154} ni 14 ga bo‘ling.

$$\frac{150}{7}\sqrt{154}$$