Issolvi 1/2sqrt{18}-6sqrt{32}

$$\frac { 1 } { 2 } \sqrt { 18 } - 6 \sqrt { 32 }$$

Evalwa

$$-\frac{45\sqrt{2}}{2}\approx -31.819805153$$

Passi tas-Soluzzjonijiet

Iffattura 18=3^{2}\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{3^{2}\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{3^{2}}\sqrt{2}. Ħu l-għerq kwadrat ta' 3^{2}.

$$\frac{1}{2}\times 3\sqrt{2}-6\sqrt{32}$$

Immultiplika \frac{1}{2} u 3 biex tikseb \frac{3}{2}.

$$\frac{3}{2}\sqrt{2}-6\sqrt{32}$$

Iffattura 32=4^{2}\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{4^{2}\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{4^{2}}\sqrt{2}. Ħu l-għerq kwadrat ta' 4^{2}.

$$\frac{3}{2}\sqrt{2}-6\times 4\sqrt{2}$$

Immultiplika -6 u 4 biex tikseb -24.

$$\frac{3}{2}\sqrt{2}-24\sqrt{2}$$

Ikkombina \frac{3}{2}\sqrt{2} u -24\sqrt{2} biex tikseb -\frac{45}{2}\sqrt{2}.

$$-\frac{45}{2}\sqrt{2}$$