Issolvi 3/4sqrt{24}div9sqrt{2}*(2/3sqrt{32})

$$\frac { 3 } { 4 } \sqrt { 24 } \div 9 \sqrt { 2 } \times ( \frac { 2 } { 3 } \sqrt { 32 } )$$

Evalwa

$$\frac{8\sqrt{6}}{9}\approx 2.177324216$$

Passi tas-Soluzzjonijiet

Iffattura 32=2\times 16. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2\times 16} bħala l-prodott tal-għeruq kwadrati \sqrt{2}\sqrt{16}.

$$\frac{\frac{3}{4}\sqrt{24}}{9}\sqrt{2}\times \frac{2}{3}\sqrt{2}\sqrt{16}$$

Immultiplika \sqrt{2} u \sqrt{2} biex tikseb 2.

$$\frac{\frac{3}{4}\sqrt{24}}{9}\times 2\times \frac{2}{3}\sqrt{16}$$

Iffattura 24=2^{2}\times 6. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2^{2}\times 6} bħala l-prodott tal-għeruq kwadrati \sqrt{2^{2}}\sqrt{6}. Ħu l-għerq kwadrat ta' 2^{2}.

$$\frac{\frac{3}{4}\times 2\sqrt{6}}{9}\times 2\times \frac{2}{3}\sqrt{16}$$

Esprimi \frac{3}{4}\times 2 bħala frazzjoni waħda.

$$\frac{\frac{3\times 2}{4}\sqrt{6}}{9}\times 2\times \frac{2}{3}\sqrt{16}$$

Immultiplika 3 u 2 biex tikseb 6.

$$\frac{\frac{6}{4}\sqrt{6}}{9}\times 2\times \frac{2}{3}\sqrt{16}$$

Naqqas il-frazzjoni \frac{6}{4} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{\frac{3}{2}\sqrt{6}}{9}\times 2\times \frac{2}{3}\sqrt{16}$$

Iddividi \frac{3}{2}\sqrt{6} b'9 biex tikseb\frac{1}{6}\sqrt{6}.

$$\frac{1}{6}\sqrt{6}\times 2\times \frac{2}{3}\sqrt{16}$$

Immultiplika \frac{1}{6} u 2 biex tikseb \frac{2}{6}.

$$\frac{2}{6}\sqrt{6}\times \frac{2}{3}\sqrt{16}$$

Naqqas il-frazzjoni \frac{2}{6} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{1}{3}\sqrt{6}\times \frac{2}{3}\sqrt{16}$$

Immultiplika \frac{1}{3} b'\frac{2}{3} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{1\times 2}{3\times 3}\sqrt{6}\sqrt{16}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{1\times 2}{3\times 3}.

$$\frac{2}{9}\sqrt{6}\sqrt{16}$$

Ikkalkula l-għerq kwadrat ta' 16 u ikseb 4.

$$\frac{2}{9}\sqrt{6}\times 4$$

Esprimi \frac{2}{9}\times 4 bħala frazzjoni waħda.

$$\frac{2\times 4}{9}\sqrt{6}$$

Immultiplika 2 u 4 biex tikseb 8.

$$\frac{8}{9}\sqrt{6}$$