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

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

Evalwa

$$\frac{10000000000000000\sqrt{5}-5000000000000000}{2679491924311227}\approx 6.479093897$$

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.

$$\frac{1}{0.5358983848622454}\left(\sqrt{20}-1\right)$$

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

$$\frac{10000000000000000}{5358983848622454}\left(\sqrt{20}-1\right)$$

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

$$\frac{5000000000000000}{2679491924311227}\left(\sqrt{20}-1\right)$$

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}.

$$\frac{5000000000000000}{2679491924311227}\left(2\sqrt{5}-1\right)$$

Uża l-propjetà distributtiva biex timmultiplika \frac{5000000000000000}{2679491924311227} b'2\sqrt{5}-1.

$$\frac{5000000000000000}{2679491924311227}\times 2\sqrt{5}+\frac{5000000000000000}{2679491924311227}\left(-1\right)$$

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

$$\frac{5000000000000000\times 2}{2679491924311227}\sqrt{5}+\frac{5000000000000000}{2679491924311227}\left(-1\right)$$

Immultiplika 5000000000000000 u 2 biex tikseb 10000000000000000.

$$\frac{10000000000000000}{2679491924311227}\sqrt{5}+\frac{5000000000000000}{2679491924311227}\left(-1\right)$$

Immultiplika \frac{5000000000000000}{2679491924311227} u -1 biex tikseb -\frac{5000000000000000}{2679491924311227}.

$$\frac{10000000000000000}{2679491924311227}\sqrt{5}-\frac{5000000000000000}{2679491924311227}$$