Datrys sqrt{5}(9sqrt{15}-sqrt{6})

$$\sqrt { 5 } ( 9 \sqrt { 15 } - \sqrt { 6 } )$$

Enrhifo

$$45\sqrt{3}-\sqrt{30}\approx 72.465060766$$

Camau Ateb

Defnyddio’r briodwedd ddosbarthu i luosi \sqrt{5} â 9\sqrt{15}-\sqrt{6}.

$$9\sqrt{5}\sqrt{15}-\sqrt{5}\sqrt{6}$$

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

$$9\sqrt{5}\sqrt{5}\sqrt{3}-\sqrt{5}\sqrt{6}$$

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

$$9\times 5\sqrt{3}-\sqrt{5}\sqrt{6}$$

Lluosi 9 a 5 i gael 45.

$$45\sqrt{3}-\sqrt{5}\sqrt{6}$$

I luosi \sqrt{5} a \sqrt{6}, dylid lluosi'r rhifau dan yr ail isradd.

$$45\sqrt{3}-\sqrt{30}$$