Issolvi sqrt{5}*sqrt{7}*sqrt{3}divsqrt{8}

$$\sqrt { 5 } \times \sqrt { 7 } \times \sqrt { 3 } \div \sqrt { 8 }$$

Evalwa

$$\frac{\sqrt{210}}{4}\approx 3.622844187$$

Passi tas-Soluzzjonijiet

Biex timmultiplika \sqrt{5} u \sqrt{7}, immultiplika n-numri taħt l-għerq kwadrat.

$$\frac{\sqrt{35}\sqrt{3}}{\sqrt{8}}$$

Biex timmultiplika \sqrt{35} u \sqrt{3}, immultiplika n-numri taħt l-għerq kwadrat.

$$\frac{\sqrt{105}}{\sqrt{8}}$$

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}.

$$\frac{\sqrt{105}}{2\sqrt{2}}$$

Irrazzjonalizza d-denominatur tal-\frac{\sqrt{105}}{2\sqrt{2}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{2}.

$$\frac{\sqrt{105}\sqrt{2}}{2\left(\sqrt{2}\right)^{2}}$$

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

$$\frac{\sqrt{105}\sqrt{2}}{2\times 2}$$

Biex timmultiplika \sqrt{105} u \sqrt{2}, immultiplika n-numri taħt l-għerq kwadrat.

$$\frac{\sqrt{210}}{2\times 2}$$

Immultiplika 2 u 2 biex tikseb 4.

$$\frac{\sqrt{210}}{4}$$