Whakaoti i te 0.192-0.068/sqrt{frac{1{25-3}+1/36-3}}

$$\frac{ 0.192-0.068 }{ \sqrt{ \frac{ 1 }{ 25-3 } + \frac{ 1 }{ 36-3 } } }$$

Aromātai

$$\frac{31\sqrt{330}}{1250}\approx 0.450514373$$

Ngā Upane Otinga

Tangohia te 0.068 i te 0.192, ka 0.124.

$$\frac{0.124}{\sqrt{\frac{1}{25-3}+\frac{1}{36-3}}}$$

Tangohia te 3 i te 25, ka 22.

$$\frac{0.124}{\sqrt{\frac{1}{22}+\frac{1}{36-3}}}$$

Tangohia te 3 i te 36, ka 33.

$$\frac{0.124}{\sqrt{\frac{1}{22}+\frac{1}{33}}}$$

Ko te maha noa iti rawa atu o 22 me 33 ko 66. Me tahuri \frac{1}{22} me \frac{1}{33} ki te hautau me te tautūnga 66.

$$\frac{0.124}{\sqrt{\frac{3}{66}+\frac{2}{66}}}$$

Tā te mea he rite te tauraro o \frac{3}{66} me \frac{2}{66}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{0.124}{\sqrt{\frac{3+2}{66}}}$$

Tāpirihia te 3 ki te 2, ka 5.

$$\frac{0.124}{\sqrt{\frac{5}{66}}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{5}{66}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{5}}{\sqrt{66}}.

$$\frac{0.124}{\frac{\sqrt{5}}{\sqrt{66}}}$$

Whakangāwaritia te tauraro o \frac{\sqrt{5}}{\sqrt{66}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{66}.

$$\frac{0.124}{\frac{\sqrt{5}\sqrt{66}}{\left(\sqrt{66}\right)^{2}}}$$

Ko te pūrua o \sqrt{66} ko 66.

$$\frac{0.124}{\frac{\sqrt{5}\sqrt{66}}{66}}$$

Hei whakarea \sqrt{5} me \sqrt{66}, whakareatia ngā tau i raro i te pūtake rua.

$$\frac{0.124}{\frac{\sqrt{330}}{66}}$$

Whakawehe 0.124 ki te \frac{\sqrt{330}}{66} mā te whakarea 0.124 ki te tau huripoki o \frac{\sqrt{330}}{66}.

$$\frac{0.124\times 66}{\sqrt{330}}$$

Whakangāwaritia te tauraro o \frac{0.124\times 66}{\sqrt{330}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{330}.

$$\frac{0.124\times 66\sqrt{330}}{\left(\sqrt{330}\right)^{2}}$$

Ko te pūrua o \sqrt{330} ko 330.

$$\frac{0.124\times 66\sqrt{330}}{330}$$

Whakareatia te 0.124 ki te 66, ka 8.184.

$$\frac{8.184\sqrt{330}}{330}$$

Whakawehea te 8.184\sqrt{330} ki te 330, kia riro ko 0.0248\sqrt{330}.

$$0.0248\sqrt{330}$$