Issolvi 3sqrt{3}(7sqrt{21}+sqrt{6})

$$3 \sqrt{ 3 } (7 \sqrt{ 21 } + \sqrt{ 6 } )$$

Evalwa

$$9\left(\sqrt{2}+7\sqrt{7}\right)\approx 179.410254658$$

Passi tas-Soluzzjonijiet

Uża l-propjetà distributtiva biex timmultiplika 3\sqrt{3} b'7\sqrt{21}+\sqrt{6}.

$$21\sqrt{3}\sqrt{21}+3\sqrt{3}\sqrt{6}$$

Iffattura 21=3\times 7. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{3\times 7} bħala l-prodott tal-għeruq kwadrati \sqrt{3}\sqrt{7}.

$$21\sqrt{3}\sqrt{3}\sqrt{7}+3\sqrt{3}\sqrt{6}$$

Immultiplika \sqrt{3} u \sqrt{3} biex tikseb 3.

$$21\times 3\sqrt{7}+3\sqrt{3}\sqrt{6}$$

Immultiplika 21 u 3 biex tikseb 63.

$$63\sqrt{7}+3\sqrt{3}\sqrt{6}$$

Iffattura 6=3\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{3\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{3}\sqrt{2}.

$$63\sqrt{7}+3\sqrt{3}\sqrt{3}\sqrt{2}$$

Immultiplika \sqrt{3} u \sqrt{3} biex tikseb 3.

$$63\sqrt{7}+3\times 3\sqrt{2}$$

Immultiplika 3 u 3 biex tikseb 9.

$$63\sqrt{7}+9\sqrt{2}$$