Whakaoti i te 15x^2+8xsqrt{45}+48

$$15 { x }^{ 2 } +8x \sqrt{ 45 } +48$$

Aromātai

$$15x^{2}+24\sqrt{5}x+48$$

Ngā Upane Otinga

Tauwehea te 45=3^{2}\times 5. Tuhia anō te pūtake rua o te hua \sqrt{3^{2}\times 5} hei hua o ngā pūtake rua \sqrt{3^{2}}\sqrt{5}. Tuhia te pūtakerua o te 3^{2}.

$$15x^{2}+8x\times 3\sqrt{5}+48$$

Whakareatia te 8 ki te 3, ka 24.

$$15x^{2}+24x\sqrt{5}+48$$

Kimi Pārōnaki e ai ki x

$$30x+24\sqrt{5}$$

Ngā Upane e Whakamahi ana i te Ture Pārōnaki mō te Tapeke

Ko te pārōnaki o tētahi pūrau ko te tapeke o ngā pārōnaki o ōna kīanga tau. Ko te pārōnaki o tētahi kīanga tau pūmau ko 0. Ko te pārōnaki o te ax^{n} ko te nax^{n-1}.

$$2\times 15x^{2-1}+8\sqrt{45}x^{1-1}$$

Whakareatia 2 ki te 15.

$$30x^{2-1}+8\sqrt{45}x^{1-1}$$

Tango 1 mai i 2.

$$30x^{1}+8\sqrt{45}x^{1-1}$$

Tango 1 mai i 1.

$$30x^{1}+24\sqrt{5}x^{0}$$

Mō tētahi kupu t, t^{1}=t.

$$30x+24\sqrt{5}x^{0}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$30x+24\sqrt{5}\times 1$$

Mō tētahi kupu t, t\times 1=t me 1t=t.

$$30x+24\sqrt{5}$$