Issolvi frac{sqrt[5]{frac{1/32}}{{left(2/3right)}^-1}}{left(1-1/3right)9/4+frac{1}{2}}+frac{sqrt{1-frac{16}{25}}}{frac{frac{4}{5}}{{left(frac{15}{2}right)}^1}}

$$\frac{ \frac{ \sqrt[ 5 ]{ \frac{ 1 }{ 32 } } }{ { \left( \frac{ 2 }{ 3 } \right) }^{ -1 } } }{ \left( 1- \frac{ 1 }{ 3 } \right) \frac{ 9 }{ 4 } + \frac{ 1 }{ 2 } } + \frac{ \sqrt{ 1- \frac{ 16 }{ 25 } } }{ \frac{ \frac{ 4 }{ 5 } }{ { \left( \frac{ 15 }{ 2 } \right) }^{ 1 } } }$$

Evalwa

$$\frac{139}{24}\approx 5.791666667$$

Passi tas-Soluzzjonijiet

Ikkalkola \sqrt[5]{\frac{1}{32}} u ikseb \frac{1}{2}.

$$\frac{\frac{\frac{1}{2}}{\left(\frac{2}{3}\right)^{-1}}}{\left(1-\frac{1}{3}\right)\times \frac{9}{4}+\frac{1}{2}}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

Ikkalkula \frac{2}{3} bil-power ta' -1 u tikseb \frac{3}{2}.

$$\frac{\frac{\frac{1}{2}}{\frac{3}{2}}}{\left(1-\frac{1}{3}\right)\times \frac{9}{4}+\frac{1}{2}}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

Iddividi \frac{1}{2} b'\frac{3}{2} billi timmultiplika \frac{1}{2} bir-reċiproku ta' \frac{3}{2}.

$$\frac{\frac{1}{2}\times \frac{2}{3}}{\left(1-\frac{1}{3}\right)\times \frac{9}{4}+\frac{1}{2}}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

Immultiplika \frac{1}{2} u \frac{2}{3} biex tikseb \frac{1}{3}.

$$\frac{\frac{1}{3}}{\left(1-\frac{1}{3}\right)\times \frac{9}{4}+\frac{1}{2}}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

Naqqas \frac{1}{3} minn 1 biex tikseb \frac{2}{3}.

$$\frac{\frac{1}{3}}{\frac{2}{3}\times \frac{9}{4}+\frac{1}{2}}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

Immultiplika \frac{2}{3} u \frac{9}{4} biex tikseb \frac{3}{2}.

$$\frac{\frac{1}{3}}{\frac{3}{2}+\frac{1}{2}}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

Żid \frac{3}{2} u \frac{1}{2} biex tikseb 2.

$$\frac{\frac{1}{3}}{2}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

Esprimi \frac{\frac{1}{3}}{2} bħala frazzjoni waħda.

$$\frac{1}{3\times 2}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

Immultiplika 3 u 2 biex tikseb 6.

$$\frac{1}{6}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

Naqqas \frac{16}{25} minn 1 biex tikseb \frac{9}{25}.

$$\frac{1}{6}+\frac{\sqrt{\frac{9}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \frac{9}{25} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{9}}{\sqrt{25}}. Ħu r-radiċi kwadrata tan-numeratur u d-denominatur.

$$\frac{1}{6}+\frac{\frac{3}{5}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

Ikkalkula \frac{15}{2} bil-power ta' 1 u tikseb \frac{15}{2}.

$$\frac{1}{6}+\frac{\frac{3}{5}}{\frac{\frac{4}{5}}{\frac{15}{2}}}$$

Iddividi \frac{4}{5} b'\frac{15}{2} billi timmultiplika \frac{4}{5} bir-reċiproku ta' \frac{15}{2}.

$$\frac{1}{6}+\frac{\frac{3}{5}}{\frac{4}{5}\times \frac{2}{15}}$$

Immultiplika \frac{4}{5} u \frac{2}{15} biex tikseb \frac{8}{75}.

$$\frac{1}{6}+\frac{\frac{3}{5}}{\frac{8}{75}}$$

Iddividi \frac{3}{5} b'\frac{8}{75} billi timmultiplika \frac{3}{5} bir-reċiproku ta' \frac{8}{75}.

$$\frac{1}{6}+\frac{3}{5}\times \frac{75}{8}$$

Immultiplika \frac{3}{5} u \frac{75}{8} biex tikseb \frac{45}{8}.

$$\frac{1}{6}+\frac{45}{8}$$

Żid \frac{1}{6} u \frac{45}{8} biex tikseb \frac{139}{24}.

$$\frac{139}{24}$$

Fattur

$$\frac{139}{2 ^ {3} \cdot 3} = 5\frac{19}{24} = 5.791666666666667$$