Datrys 6sqrt{128}-4sqrt{200}+2sqrt{9}

$$6 \sqrt { 128 } - 4 \sqrt { 200 } + 2 \sqrt { 9 }$$

Enrhifo

$$8\sqrt{2}+6\approx 17.313708499$$

Camau Ateb

Ffactora 128=8^{2}\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{8^{2}\times 2} fel lluoswm ail israddau \sqrt{8^{2}}\sqrt{2}. Cymryd isradd 8^{2}.

$$6\times 8\sqrt{2}-4\sqrt{200}+2\sqrt{9}$$

Lluosi 6 a 8 i gael 48.

$$48\sqrt{2}-4\sqrt{200}+2\sqrt{9}$$

Ffactora 200=10^{2}\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{10^{2}\times 2} fel lluoswm ail israddau \sqrt{10^{2}}\sqrt{2}. Cymryd isradd 10^{2}.

$$48\sqrt{2}-4\times 10\sqrt{2}+2\sqrt{9}$$

Lluosi -4 a 10 i gael -40.

$$48\sqrt{2}-40\sqrt{2}+2\sqrt{9}$$

Cyfuno 48\sqrt{2} a -40\sqrt{2} i gael 8\sqrt{2}.

$$8\sqrt{2}+2\sqrt{9}$$

Cyfrifo ail isradd 9 a chael 3.

$$8\sqrt{2}+2\times 3$$

Lluosi 2 a 3 i gael 6.

$$8\sqrt{2}+6$$

Ffactor

$$2 {(4 \sqrt{2} + 3)} = 17.313708499$$