Datrys 4/7sqrt{147}+3/8sqrt{192}-1/5sqrt{75}

$$\frac{ 4 }{ 7 } \sqrt{ 147 } + \frac{ 3 }{ 8 } \sqrt{ 192 } - \frac{ 1 }{ 5 } \sqrt{ 75 }$$

Enrhifo

$$6\sqrt{3}\approx 10.392304845$$

Camau Ateb

Ffactora 147=7^{2}\times 3. Ailysgrifennu ail isradd y lluoswm \sqrt{7^{2}\times 3} fel lluoswm ail israddau \sqrt{7^{2}}\sqrt{3}. Cymryd isradd 7^{2}.

$$\frac{4}{7}\times 7\sqrt{3}+\frac{3}{8}\sqrt{192}-\frac{1}{5}\sqrt{75}$$

Canslo 7 a 7.

$$4\sqrt{3}+\frac{3}{8}\sqrt{192}-\frac{1}{5}\sqrt{75}$$

Ffactora 192=8^{2}\times 3. Ailysgrifennu ail isradd y lluoswm \sqrt{8^{2}\times 3} fel lluoswm ail israddau \sqrt{8^{2}}\sqrt{3}. Cymryd isradd 8^{2}.

$$4\sqrt{3}+\frac{3}{8}\times 8\sqrt{3}-\frac{1}{5}\sqrt{75}$$

Canslo 8 a 8.

$$4\sqrt{3}+3\sqrt{3}-\frac{1}{5}\sqrt{75}$$

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

$$7\sqrt{3}-\frac{1}{5}\sqrt{75}$$

Ffactora 75=5^{2}\times 3. Ailysgrifennu ail isradd y lluoswm \sqrt{5^{2}\times 3} fel lluoswm ail israddau \sqrt{5^{2}}\sqrt{3}. Cymryd isradd 5^{2}.

$$7\sqrt{3}-\frac{1}{5}\times 5\sqrt{3}$$

Canslo 5 a 5.

$$7\sqrt{3}-\sqrt{3}$$

Cyfuno 7\sqrt{3} a -\sqrt{3} i gael 6\sqrt{3}.

$$6\sqrt{3}$$