Issolvi 2sqrt{20}1/4-sqrt{1}32/49

$$2 \sqrt{ 20 } \frac{ 1 }{ 4 } - \sqrt{ 1 } \frac{ 32 }{ 49 }$$

Evalwa

$$\sqrt{5}-\frac{32}{49}\approx 1.583006753$$

Passi tas-Soluzzjonijiet

Iffattura 20=2^{2}\times 5. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2^{2}\times 5} bħala l-prodott tal-għeruq kwadrati \sqrt{2^{2}}\sqrt{5}. Ħu l-għerq kwadrat ta' 2^{2}.

$$2\times 2\sqrt{5}\times \frac{1}{4}-\sqrt{1}\times \frac{32}{49}$$

Immultiplika 2 u 2 biex tikseb 4.

$$4\sqrt{5}\times \frac{1}{4}-\sqrt{1}\times \frac{32}{49}$$

Annulla 4 u 4.

$$\sqrt{5}-\sqrt{1}\times \frac{32}{49}$$

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

$$\sqrt{5}-1\times \frac{32}{49}$$

Immultiplika 1 u \frac{32}{49} biex tikseb \frac{32}{49}.

$$\sqrt{5}-\frac{32}{49}$$

Fattur

$$\frac{49 \sqrt{5} - 32}{49} = 1.5830067530099938$$