sqrt72^2/sqrt{49sqrt{6}} eching

$$\frac { \sqrt { 72 } ^ { 2 } } { \sqrt { 49 } \sqrt { 6 } }$$

Baholash

$$\frac{12\sqrt{6}}{7}\approx 4,199125273$$

Yechim qadamlari

\sqrt{72} kvadrati – 72.

$$\frac{72}{\sqrt{49}\sqrt{6}}$$

49 ning kvadrat ildizini hisoblab, 7 natijaga ega bo‘ling.

$$\frac{72}{7\sqrt{6}}$$

\frac{72}{7\sqrt{6}} maxrajini \sqrt{6} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{72\sqrt{6}}{7\left(\sqrt{6}\right)^{2}}$$

\sqrt{6} kvadrati – 6.

$$\frac{72\sqrt{6}}{7\times 6}$$

Surat va maxrajdagi ikkala 6 ni qisqartiring.

$$\frac{12\sqrt{6}}{7}$$