Issolvi sqrt{80}-(sqrt{20}-5sqrt{1/5})

Evalwa

Kwizz

Arithmetic

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Sehem

Ikkupjat fuq il-klibbord

4\sqrt{5}-\left(\sqrt{20}-5\sqrt{\frac{1}{5}}\right)

Iffattura 80=4^{2}\times 5. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{4^{2}\times 5} bħala l-prodott tal-għeruq kwadrati \sqrt{4^{2}}\sqrt{5}. Ħu l-għerq kwadrat ta' 4^{2}.

4\sqrt{5}-\left(2\sqrt{5}-5\sqrt{\frac{1}{5}}\right)

Iffattura 20=2^{2}\times 5. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2^{2}\times 5} bħala l-prodott tal-għeruq kwadrati \sqrt{2^{2}}\sqrt{5}. Ħu l-għerq kwadrat ta' 2^{2}.

4\sqrt{5}-\left(2\sqrt{5}-5\times \frac{\sqrt{1}}{\sqrt{5}}\right)

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{1}{5}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{1}}{\sqrt{5}}.

4\sqrt{5}-\left(2\sqrt{5}-5\times \frac{1}{\sqrt{5}}\right)

Ikkalkula l-għerq kwadrat ta' 1 u ikseb 1.

4\sqrt{5}-\left(2\sqrt{5}-5\times \frac{\sqrt{5}}{\left(\sqrt{5}\right)^{2}}\right)

Irrazzjonalizza d-denominatur tal-\frac{1}{\sqrt{5}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{5}.

4\sqrt{5}-\left(2\sqrt{5}-5\times \frac{\sqrt{5}}{5}\right)

Il-kwadrat ta' \sqrt{5} huwa 5.

4\sqrt{5}-\left(2\sqrt{5}-\sqrt{5}\right)

Annulla 5 u 5.

4\sqrt{5}-\sqrt{5}

Ikkombina 2\sqrt{5} u -\sqrt{5} biex tikseb \sqrt{5}.