Issolvi 1/2tan(15)sqrt{20}-1

$$\frac{ 1 }{ 2 \tan ( 15 ) } \sqrt{ 20 } -1$$

Evalwa

$$\frac{10000000000000000\sqrt{5}}{2679491924311227}-1\approx 7.345119301$$

Passi tas-Soluzzjonijiet

Evaluate trigonometric functions in the problem

$$\frac{1}{2 \cdot 0.2679491924311227} \sqrt{20} - 1$$

Immultiplika 2 u 0.2679491924311227 biex tikseb 0.5358983848622454.

$$\frac{1}{0.5358983848622454}\sqrt{20}-1$$

Espandi \frac{1}{0.5358983848622454} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10000000000000000.

$$\frac{10000000000000000}{5358983848622454}\sqrt{20}-1$$

Naqqas il-frazzjoni \frac{10000000000000000}{5358983848622454} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{5000000000000000}{2679491924311227}\sqrt{20}-1$$

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}.

$$\frac{5000000000000000}{2679491924311227}\times 2\sqrt{5}-1$$

Esprimi \frac{5000000000000000}{2679491924311227}\times 2 bħala frazzjoni waħda.

$$\frac{5000000000000000\times 2}{2679491924311227}\sqrt{5}-1$$

Immultiplika 5000000000000000 u 2 biex tikseb 10000000000000000.

$$\frac{10000000000000000}{2679491924311227}\sqrt{5}-1$$

Fattur

$$\frac{10000000000000000 \sqrt{5}}{2679491924311227} - 1 = 7.345119301$$