Whakaoti i te 5sqrt{435650/90}-{left(6040/90right)}^2

$$5 \sqrt{ \frac{ 435650 }{ 90 } } - { \left( \frac{ 6040 }{ 90 } \right) }^{ 2 }$$

Aromātai

$$\frac{5\sqrt{43565}}{3}-\frac{364816}{81}\approx -4156.030728648$$

Ngā Hipanga Rongoā Poto

Whakahekea te hautanga \frac{435650}{90} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 10.

$$5\sqrt{\frac{43565}{9}}-\left(\frac{6040}{90}\right)^{2}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{43565}{9}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{43565}}{\sqrt{9}}.

$$5\times \frac{\sqrt{43565}}{\sqrt{9}}-\left(\frac{6040}{90}\right)^{2}$$

Tātaitia te pūtakerua o 9 kia tae ki 3.

$$5\times \frac{\sqrt{43565}}{3}-\left(\frac{6040}{90}\right)^{2}$$

Tuhia te 5\times \frac{\sqrt{43565}}{3} hei hautanga kotahi.

$$\frac{5\sqrt{43565}}{3}-\left(\frac{6040}{90}\right)^{2}$$

Whakahekea te hautanga \frac{6040}{90} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 10.

$$\frac{5\sqrt{43565}}{3}-\left(\frac{604}{9}\right)^{2}$$

Tātaihia te \frac{604}{9} mā te pū o 2, kia riro ko \frac{364816}{81}.

$$\frac{5\sqrt{43565}}{3}-\frac{364816}{81}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o 3 me 81 ko 81. Whakareatia \frac{5\sqrt{43565}}{3} ki te \frac{27}{27}.

$$\frac{27\times 5\sqrt{43565}}{81}-\frac{364816}{81}$$

Tā te mea he rite te tauraro o \frac{27\times 5\sqrt{43565}}{81} me \frac{364816}{81}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{27\times 5\sqrt{43565}-364816}{81}$$

Mahia ngā whakarea i roto o 27\times 5\sqrt{43565}-364816.

$$\frac{135\sqrt{43565}-364816}{81}$$

Tauwehe

$$\frac{135 \sqrt{43565} - 364816}{81} = -4156.030728648114$$