Datrys sqrt{98}-(sqrt{160}+3sqrt{2})+sqrt{90}

$$\sqrt { 98 } - ( \sqrt { 160 } + 3 \sqrt { 2 } ) + \sqrt { 90 }$$

Enrhifo

$$4\sqrt{2}-\sqrt{10}\approx 2.494576589$$

Camau Ateb

Ffactora 98=7^{2}\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{7^{2}\times 2} fel lluoswm ail israddau \sqrt{7^{2}}\sqrt{2}. Cymryd isradd 7^{2}.

$$7\sqrt{2}-\left(\sqrt{160}+3\sqrt{2}\right)+\sqrt{90}$$

Ffactora 160=4^{2}\times 10. Ailysgrifennu ail isradd y lluoswm \sqrt{4^{2}\times 10} fel lluoswm ail israddau \sqrt{4^{2}}\sqrt{10}. Cymryd isradd 4^{2}.

$$7\sqrt{2}-\left(4\sqrt{10}+3\sqrt{2}\right)+\sqrt{90}$$

I ddod o hyd i wrthwyneb 4\sqrt{10}+3\sqrt{2}, dewch o hyd i wrthwyneb pob term.

$$7\sqrt{2}-4\sqrt{10}-3\sqrt{2}+\sqrt{90}$$

Cyfuno 7\sqrt{2} a -3\sqrt{2} i gael 4\sqrt{2}.

$$4\sqrt{2}-4\sqrt{10}+\sqrt{90}$$

Ffactora 90=3^{2}\times 10. Ailysgrifennu ail isradd y lluoswm \sqrt{3^{2}\times 10} fel lluoswm ail israddau \sqrt{3^{2}}\sqrt{10}. Cymryd isradd 3^{2}.

$$4\sqrt{2}-4\sqrt{10}+3\sqrt{10}$$

Cyfuno -4\sqrt{10} a 3\sqrt{10} i gael -\sqrt{10}.

$$4\sqrt{2}-\sqrt{10}$$