Datrys 3/2sqrt{20}*(sqrt{15})*(-1/3sqrt{48})

$$\frac { 3 } { 2 } \sqrt { 20 } \times ( \sqrt { 15 } ) \times ( - \frac { 1 } { 3 } \sqrt { 48 } )$$

Enrhifo

$$-60$$

Camau Ateb

Ffactora 20=2^{2}\times 5. Ailysgrifennu ail isradd y lluoswm \sqrt{2^{2}\times 5} fel lluoswm ail israddau \sqrt{2^{2}}\sqrt{5}. Cymryd isradd 2^{2}.

$$\frac{3}{2}\times 2\sqrt{5}\sqrt{15}\left(-\frac{1}{3}\right)\sqrt{48}$$

Canslo 2 a 2.

$$3\sqrt{5}\sqrt{15}\left(-\frac{1}{3}\right)\sqrt{48}$$

Canslo 3 a 3.

$$-\sqrt{5}\sqrt{15}\sqrt{48}$$

Ffactora 48=4^{2}\times 3. Ailysgrifennu ail isradd y lluoswm \sqrt{4^{2}\times 3} fel lluoswm ail israddau \sqrt{4^{2}}\sqrt{3}. Cymryd isradd 4^{2}.

$$-\sqrt{5}\sqrt{15}\times 4\sqrt{3}$$

Lluosi -1 a 4 i gael -4.

$$-4\sqrt{5}\sqrt{15}\sqrt{3}$$

Ffactora 15=5\times 3. Ailysgrifennu ail isradd y lluoswm \sqrt{5\times 3} fel lluoswm ail israddau \sqrt{5}\sqrt{3}.

$$-4\sqrt{5}\sqrt{5}\sqrt{3}\sqrt{3}$$

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

$$-4\times 5\sqrt{3}\sqrt{3}$$

Lluosi \sqrt{3} a \sqrt{3} i gael 3.

$$-4\times 5\times 3$$

Lluosi -4 a 5 i gael -20.

$$-20\times 3$$

Lluosi -20 a 3 i gael -60.

$$-60$$

Ffactor

$$-60$$