Issolvi {left(7/45/2right)}^2sqrt{4/9}

$${ \left( \frac{ 7 }{ 4 } \frac{ 5 }{ 2 } \right) }^{ 2 } \sqrt{ \frac{ 4 }{ 9 } }$$

Evalwa

$$\frac{1225}{96}\approx 12.760416667$$

Passi tas-Soluzzjonijiet

Immultiplika \frac{7}{4} u \frac{5}{2} biex tikseb \frac{35}{8}.

$$\left(\frac{35}{8}\right)^{2}\sqrt{\frac{4}{9}}$$

Ikkalkula \frac{35}{8} bil-power ta' 2 u tikseb \frac{1225}{64}.

$$\frac{1225}{64}\sqrt{\frac{4}{9}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \frac{4}{9} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{4}}{\sqrt{9}}. Ħu r-radiċi kwadrata tan-numeratur u d-denominatur.

$$\frac{1225}{64}\times \frac{2}{3}$$

Immultiplika \frac{1225}{64} u \frac{2}{3} biex tikseb \frac{1225}{96}.

$$\frac{1225}{96}$$

Fattur

$$\frac{5 ^ {2} \cdot 7 ^ {2}}{2 ^ {5} \cdot 3} = 12\frac{73}{96} = 12.760416666666666$$