Datrys 5sqrt{50}-2sqrt{18}+9sqrt{32}

$$5 \sqrt { 50 } - 2 \sqrt { 18 } + 9 \sqrt { 32 }$$

Enrhifo

$$55\sqrt{2}\approx 77.781745931$$

Camau Ateb

Ffactora 50=5^{2}\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{5^{2}\times 2} fel lluoswm ail israddau \sqrt{5^{2}}\sqrt{2}. Cymryd isradd 5^{2}.

$$5\times 5\sqrt{2}-2\sqrt{18}+9\sqrt{32}$$

Lluosi 5 a 5 i gael 25.

$$25\sqrt{2}-2\sqrt{18}+9\sqrt{32}$$

Ffactora 18=3^{2}\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{3^{2}\times 2} fel lluoswm ail israddau \sqrt{3^{2}}\sqrt{2}. Cymryd isradd 3^{2}.

$$25\sqrt{2}-2\times 3\sqrt{2}+9\sqrt{32}$$

Lluosi -2 a 3 i gael -6.

$$25\sqrt{2}-6\sqrt{2}+9\sqrt{32}$$

Cyfuno 25\sqrt{2} a -6\sqrt{2} i gael 19\sqrt{2}.

$$19\sqrt{2}+9\sqrt{32}$$

Ffactora 32=4^{2}\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{4^{2}\times 2} fel lluoswm ail israddau \sqrt{4^{2}}\sqrt{2}. Cymryd isradd 4^{2}.

$$19\sqrt{2}+9\times 4\sqrt{2}$$

Lluosi 9 a 4 i gael 36.

$$19\sqrt{2}+36\sqrt{2}$$

Cyfuno 19\sqrt{2} a 36\sqrt{2} i gael 55\sqrt{2}.

$$55\sqrt{2}$$