Whakaoti i te (sqrt{6}+2)(3+5sqrt{2})

$$( \sqrt { 6 } + 2 ) ( 3 + 5 \sqrt { 2 } )$$

Aromātai

$$3\sqrt{6}+10\sqrt{2}+10\sqrt{3}+6\approx 44.811112928$$

Ngā Upane Otinga

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o \sqrt{6}+2 ki ia tau o 3+5\sqrt{2}.

$$3\sqrt{6}+5\sqrt{6}\sqrt{2}+6+10\sqrt{2}$$

Tauwehea te 6=2\times 3. Tuhia anō te pūtake rua o te hua \sqrt{2\times 3} hei hua o ngā pūtake rua \sqrt{2}\sqrt{3}.

$$3\sqrt{6}+5\sqrt{2}\sqrt{3}\sqrt{2}+6+10\sqrt{2}$$

Whakareatia te \sqrt{2} ki te \sqrt{2}, ka 2.

$$3\sqrt{6}+5\times 2\sqrt{3}+6+10\sqrt{2}$$

Whakareatia te 5 ki te 2, ka 10.

$$3\sqrt{6}+10\sqrt{3}+6+10\sqrt{2}$$