Issolvi sqrt{72}+1/4sqrt{98}

$$\sqrt { 72 } + \frac { 1 } { 4 } \sqrt { 98 }$$

Evalwa

$$\frac{31\sqrt{2}}{4}\approx 10.960155108$$

Passi tas-Soluzzjonijiet

Iffattura 72=6^{2}\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{6^{2}\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{6^{2}}\sqrt{2}. Ħu l-għerq kwadrat ta' 6^{2}.

$$6\sqrt{2}+\frac{1}{4}\sqrt{98}$$

Iffattura 98=7^{2}\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{7^{2}\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{7^{2}}\sqrt{2}. Ħu l-għerq kwadrat ta' 7^{2}.

$$6\sqrt{2}+\frac{1}{4}\times 7\sqrt{2}$$

Immultiplika \frac{1}{4} u 7 biex tikseb \frac{7}{4}.

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

Ikkombina 6\sqrt{2} u \frac{7}{4}\sqrt{2} biex tikseb \frac{31}{4}\sqrt{2}.

$$\frac{31}{4}\sqrt{2}$$