Whakaoti i te (sqrt{3}+sqrt{10})(sqrt{3}-2sqrt{10})

$$( \sqrt { 3 } + \sqrt { 10 } ) ( \sqrt { 3 } - 2 \sqrt { 10 } )$$

Aromātai

$$-\sqrt{30}-17\approx -22.477225575$$

Ngā Upane Otinga

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o \sqrt{3}+\sqrt{10} ki ia tau o \sqrt{3}-2\sqrt{10}.

$$\left(\sqrt{3}\right)^{2}-2\sqrt{3}\sqrt{10}+\sqrt{10}\sqrt{3}-2\left(\sqrt{10}\right)^{2}$$

Ko te pūrua o \sqrt{3} ko 3.

$$3-2\sqrt{3}\sqrt{10}+\sqrt{10}\sqrt{3}-2\left(\sqrt{10}\right)^{2}$$

Hei whakarea \sqrt{3} me \sqrt{10}, whakareatia ngā tau i raro i te pūtake rua.

$$3-2\sqrt{30}+\sqrt{10}\sqrt{3}-2\left(\sqrt{10}\right)^{2}$$

Hei whakarea \sqrt{10} me \sqrt{3}, whakareatia ngā tau i raro i te pūtake rua.

$$3-2\sqrt{30}+\sqrt{30}-2\left(\sqrt{10}\right)^{2}$$

Pahekotia te -2\sqrt{30} me \sqrt{30}, ka -\sqrt{30}.

$$3-\sqrt{30}-2\left(\sqrt{10}\right)^{2}$$

Ko te pūrua o \sqrt{10} ko 10.

$$3-\sqrt{30}-2\times 10$$

Whakareatia te -2 ki te 10, ka -20.

$$3-\sqrt{30}-20$$

Tangohia te 20 i te 3, ka -17.

$$-17-\sqrt{30}$$