Datrys 422sqrt{80}*sqrt{5}-sqrt{50}*sqrt{2}

$$422 \sqrt { 80 } \times \sqrt { 5 } - \sqrt { 50 } \times \sqrt { 2 }$$

Enrhifo

$$8430$$

Camau Ateb

Ffactora 80=5\times 16. Ailysgrifennu ail isradd y lluoswm \sqrt{5\times 16} fel lluoswm ail israddau \sqrt{5}\sqrt{16}.

$$422\sqrt{5}\sqrt{16}\sqrt{5}-\sqrt{50}\sqrt{2}$$

Lluosi \sqrt{5} a \sqrt{5} i gael 5.

$$422\times 5\sqrt{16}-\sqrt{50}\sqrt{2}$$

Lluosi 422 a 5 i gael 2110.

$$2110\sqrt{16}-\sqrt{50}\sqrt{2}$$

Cyfrifo ail isradd 16 a chael 4.

$$2110\times 4-\sqrt{50}\sqrt{2}$$

Lluosi 2110 a 4 i gael 8440.

$$8440-\sqrt{50}\sqrt{2}$$

Ffactora 50=2\times 25. Ailysgrifennu ail isradd y lluoswm \sqrt{2\times 25} fel lluoswm ail israddau \sqrt{2}\sqrt{25}.

$$8440-\sqrt{2}\sqrt{25}\sqrt{2}$$

Lluosi \sqrt{2} a \sqrt{2} i gael 2.

$$8440-2\sqrt{25}$$

Cyfrifo ail isradd 25 a chael 5.

$$8440-2\times 5$$

Lluosi 2 a 5 i gael 10.

$$8440-10$$

Tynnu 10 o 8440 i gael 8430.

$$8430$$

Ffactor

$$2\times 3\times 5\times 281$$