Issolvi sqrt{13/5}div22sqrt{1/5}*sqrt{63}=

$$\sqrt { 1 \frac { 3 } { 5 } } \div 22 \sqrt { \frac { 1 } { 5 } } \times \sqrt { 63 } =$$

Evalwa

$$\frac{3\sqrt{14}}{55}\approx 0.204090403$$

Passi tas-Soluzzjonijiet

Immultiplika 1 u 5 biex tikseb 5.

$$\frac{\sqrt{\frac{5+3}{5}}}{22}\sqrt{\frac{1}{5}}\sqrt{63}$$

Żid 5 u 3 biex tikseb 8.

$$\frac{\sqrt{\frac{8}{5}}}{22}\sqrt{\frac{1}{5}}\sqrt{63}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{8}{5}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{8}}{\sqrt{5}}.

$$\frac{\frac{\sqrt{8}}{\sqrt{5}}}{22}\sqrt{\frac{1}{5}}\sqrt{63}$$

Iffattura 8=2^{2}\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2^{2}\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{2^{2}}\sqrt{2}. Ħu l-għerq kwadrat ta' 2^{2}.

$$\frac{\frac{2\sqrt{2}}{\sqrt{5}}}{22}\sqrt{\frac{1}{5}}\sqrt{63}$$

Irrazzjonalizza d-denominatur tal-\frac{2\sqrt{2}}{\sqrt{5}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{5}.

$$\frac{\frac{2\sqrt{2}\sqrt{5}}{\left(\sqrt{5}\right)^{2}}}{22}\sqrt{\frac{1}{5}}\sqrt{63}$$

Il-kwadrat ta' \sqrt{5} huwa 5.

$$\frac{\frac{2\sqrt{2}\sqrt{5}}{5}}{22}\sqrt{\frac{1}{5}}\sqrt{63}$$

Biex timmultiplika \sqrt{2} u \sqrt{5}, immultiplika n-numri taħt l-għerq kwadrat.

$$\frac{\frac{2\sqrt{10}}{5}}{22}\sqrt{\frac{1}{5}}\sqrt{63}$$

Esprimi \frac{\frac{2\sqrt{10}}{5}}{22} bħala frazzjoni waħda.

$$\frac{2\sqrt{10}}{5\times 22}\sqrt{\frac{1}{5}}\sqrt{63}$$

Annulla 2 fin-numeratur u d-denominatur.

$$\frac{\sqrt{10}}{5\times 11}\sqrt{\frac{1}{5}}\sqrt{63}$$

Immultiplika 5 u 11 biex tikseb 55.

$$\frac{\sqrt{10}}{55}\sqrt{\frac{1}{5}}\sqrt{63}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{1}{5}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{1}}{\sqrt{5}}.

$$\frac{\sqrt{10}}{55}\times \frac{\sqrt{1}}{\sqrt{5}}\sqrt{63}$$

Ikkalkula l-għerq kwadrat ta' 1 u ikseb 1.

$$\frac{\sqrt{10}}{55}\times \frac{1}{\sqrt{5}}\sqrt{63}$$

Irrazzjonalizza d-denominatur tal-\frac{1}{\sqrt{5}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{5}.

$$\frac{\sqrt{10}}{55}\times \frac{\sqrt{5}}{\left(\sqrt{5}\right)^{2}}\sqrt{63}$$

Il-kwadrat ta' \sqrt{5} huwa 5.

$$\frac{\sqrt{10}}{55}\times \frac{\sqrt{5}}{5}\sqrt{63}$$

Iffattura 63=3^{2}\times 7. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{3^{2}\times 7} bħala l-prodott tal-għeruq kwadrati \sqrt{3^{2}}\sqrt{7}. Ħu l-għerq kwadrat ta' 3^{2}.

$$\frac{\sqrt{10}}{55}\times \frac{\sqrt{5}}{5}\times 3\sqrt{7}$$

Immultiplika \frac{\sqrt{10}}{55} b'\frac{\sqrt{5}}{5} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{\sqrt{10}\sqrt{5}}{55\times 5}\times 3\sqrt{7}$$

Esprimi \frac{\sqrt{10}\sqrt{5}}{55\times 5}\times 3 bħala frazzjoni waħda.

$$\frac{\sqrt{10}\sqrt{5}\times 3}{55\times 5}\sqrt{7}$$

Esprimi \frac{\sqrt{10}\sqrt{5}\times 3}{55\times 5}\sqrt{7} bħala frazzjoni waħda.

$$\frac{\sqrt{10}\sqrt{5}\times 3\sqrt{7}}{55\times 5}$$

Iffattura 10=5\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{5\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{5}\sqrt{2}.

$$\frac{\sqrt{5}\sqrt{2}\sqrt{5}\times 3\sqrt{7}}{55\times 5}$$

Immultiplika \sqrt{5} u \sqrt{5} biex tikseb 5.

$$\frac{5\sqrt{2}\times 3\sqrt{7}}{55\times 5}$$

Immultiplika 5 u 3 biex tikseb 15.

$$\frac{15\sqrt{2}\sqrt{7}}{55\times 5}$$

Biex timmultiplika \sqrt{2} u \sqrt{7}, immultiplika n-numri taħt l-għerq kwadrat.

$$\frac{15\sqrt{14}}{55\times 5}$$

Immultiplika 55 u 5 biex tikseb 275.

$$\frac{15\sqrt{14}}{275}$$

Iddividi 15\sqrt{14} b'275 biex tikseb\frac{3}{55}\sqrt{14}.

$$\frac{3}{55}\sqrt{14}$$