Issolvi 6/sqrt{7}+8/sqrt{2}

$$\frac { 6 } { \sqrt { 7 } } + \frac { 8 } { \sqrt { 2 } }$$

Evalwa

$$\frac{6\sqrt{7}}{7}+4\sqrt{2}\approx 7.924641088$$

Passi Qosra tas-Soluzzjonijiet

Irrazzjonalizza d-denominatur tal-\frac{6}{\sqrt{7}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{7}.

$$\frac{6\sqrt{7}}{\left(\sqrt{7}\right)^{2}}+\frac{8}{\sqrt{2}}$$

Il-kwadrat ta' \sqrt{7} huwa 7.

$$\frac{6\sqrt{7}}{7}+\frac{8}{\sqrt{2}}$$

Irrazzjonalizza d-denominatur tal-\frac{8}{\sqrt{2}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{2}.

$$\frac{6\sqrt{7}}{7}+\frac{8\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

Il-kwadrat ta' \sqrt{2} huwa 2.

$$\frac{6\sqrt{7}}{7}+\frac{8\sqrt{2}}{2}$$

Iddividi 8\sqrt{2} b'2 biex tikseb4\sqrt{2}.

$$\frac{6\sqrt{7}}{7}+4\sqrt{2}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. Immultiplika 4\sqrt{2} b'\frac{7}{7}.

$$\frac{6\sqrt{7}}{7}+\frac{7\times 4\sqrt{2}}{7}$$

Billi \frac{6\sqrt{7}}{7} u \frac{7\times 4\sqrt{2}}{7} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{6\sqrt{7}+7\times 4\sqrt{2}}{7}$$

Agħmel il-multiplikazzjonijiet fi 6\sqrt{7}+7\times 4\sqrt{2}.

$$\frac{6\sqrt{7}+28\sqrt{2}}{7}$$

Fattur

$$\frac{2 {(3 \sqrt{7} + 14 \sqrt{2})}}{7} = 7.9246410875477435$$