Issolvi 17+1/72+16sqrt{8}+2/3+1/4

$$17 + \frac { 1 } { 72 } + 16 \sqrt { 8 } + \frac { 2 } { 3 } + \frac { 1 } { 4 }$$

Evalwa

$$32\sqrt{2}+\frac{1291}{72}\approx 63.185389551$$

Passi tas-Soluzzjonijiet

Ikkonverti 17 fi frazzjoni \frac{1224}{72}.

$$\frac{1224}{72}+\frac{1}{72}+16\sqrt{8}+\frac{2}{3}+\frac{1}{4}$$

Billi \frac{1224}{72} u \frac{1}{72} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{1224+1}{72}+16\sqrt{8}+\frac{2}{3}+\frac{1}{4}$$

Żid 1224 u 1 biex tikseb 1225.

$$\frac{1225}{72}+16\sqrt{8}+\frac{2}{3}+\frac{1}{4}$$

Iffattura 8=2^{2}\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2^{2}\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{2^{2}}\sqrt{2}. Ħu l-għerq kwadrat ta' 2^{2}.

$$\frac{1225}{72}+16\times 2\sqrt{2}+\frac{2}{3}+\frac{1}{4}$$

Immultiplika 16 u 2 biex tikseb 32.

$$\frac{1225}{72}+32\sqrt{2}+\frac{2}{3}+\frac{1}{4}$$

L-inqas multipli komuni ta' 72 u 3 huwa 72. Ikkonverti \frac{1225}{72} u \frac{2}{3} fi frazzjonijiet bid-denominatur 72.

$$\frac{1225}{72}+32\sqrt{2}+\frac{48}{72}+\frac{1}{4}$$

Billi \frac{1225}{72} u \frac{48}{72} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{1225+48}{72}+32\sqrt{2}+\frac{1}{4}$$

Żid 1225 u 48 biex tikseb 1273.

$$\frac{1273}{72}+32\sqrt{2}+\frac{1}{4}$$

L-inqas multipli komuni ta' 72 u 4 huwa 72. Ikkonverti \frac{1273}{72} u \frac{1}{4} fi frazzjonijiet bid-denominatur 72.

$$\frac{1273}{72}+32\sqrt{2}+\frac{18}{72}$$

Billi \frac{1273}{72} u \frac{18}{72} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{1273+18}{72}+32\sqrt{2}$$

Żid 1273 u 18 biex tikseb 1291.

$$\frac{1291}{72}+32\sqrt{2}$$

Fattur

$$\frac{2304 \sqrt{2} + 1291}{72} = 63.18538955149461$$