Issolvi sqrt{5/7}*sqrt[3]{343/125}=

$$\sqrt { \frac { 5 } { 7 } } \times \sqrt[ 3 ] { \frac { 343 } { 125 } } =$$

Evalwa

$$\frac{\sqrt{35}}{5}\approx 1.183215957$$

Passi tas-Soluzzjonijiet

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{5}{7}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{5}}{\sqrt{7}}.

$$\frac{\sqrt{5}}{\sqrt{7}}\sqrt[3]{\frac{343}{125}}$$

Irrazzjonalizza d-denominatur tal-\frac{\sqrt{5}}{\sqrt{7}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{7}.

$$\frac{\sqrt{5}\sqrt{7}}{\left(\sqrt{7}\right)^{2}}\sqrt[3]{\frac{343}{125}}$$

Il-kwadrat ta' \sqrt{7} huwa 7.

$$\frac{\sqrt{5}\sqrt{7}}{7}\sqrt[3]{\frac{343}{125}}$$

Biex timmultiplika \sqrt{5} u \sqrt{7}, immultiplika n-numri taħt l-għerq kwadrat.

$$\frac{\sqrt{35}}{7}\sqrt[3]{\frac{343}{125}}$$

Ikkalkola \sqrt[3]{\frac{343}{125}} u ikseb \frac{7}{5}.

$$\frac{\sqrt{35}}{7}\times \frac{7}{5}$$

Immultiplika \frac{\sqrt{35}}{7} b'\frac{7}{5} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{\sqrt{35}\times 7}{7\times 5}$$

Annulla 7 fin-numeratur u d-denominatur.

$$\frac{\sqrt{35}}{5}$$