Whakaoti i te sqrt{1/20-1[112-(38)^2/20}

$$\sqrt { \frac { 1 } { 20 - 1 } [ 112 - \frac { ( 38 ) ^ { 2 } } { 20 } }$$

Aromātai

$$\frac{\sqrt{18905}}{95}\approx 1.447320573$$

Ngā Upane Otinga

Tangohia te 1 i te 20, ka 19.

$$\sqrt{\frac{1}{19}\left(112-\frac{38^{2}}{20}\right)}$$

Tātaihia te 38 mā te pū o 2, kia riro ko 1444.

$$\sqrt{\frac{1}{19}\left(112-\frac{1444}{20}\right)}$$

Whakahekea te hautanga \frac{1444}{20} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\sqrt{\frac{1}{19}\left(112-\frac{361}{5}\right)}$$

Me tahuri te 112 ki te hautau \frac{560}{5}.

$$\sqrt{\frac{1}{19}\left(\frac{560}{5}-\frac{361}{5}\right)}$$

Tā te mea he rite te tauraro o \frac{560}{5} me \frac{361}{5}, me tango rāua mā te tango i ō raua taurunga.

$$\sqrt{\frac{1}{19}\times \frac{560-361}{5}}$$

Tangohia te 361 i te 560, ka 199.

$$\sqrt{\frac{1}{19}\times \frac{199}{5}}$$

Me whakarea te \frac{1}{19} ki te \frac{199}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\sqrt{\frac{1\times 199}{19\times 5}}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 199}{19\times 5}.

$$\sqrt{\frac{199}{95}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{199}{95}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{199}}{\sqrt{95}}.

$$\frac{\sqrt{199}}{\sqrt{95}}$$

Whakangāwaritia te tauraro o \frac{\sqrt{199}}{\sqrt{95}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{95}.

$$\frac{\sqrt{199}\sqrt{95}}{\left(\sqrt{95}\right)^{2}}$$

Ko te pūrua o \sqrt{95} ko 95.

$$\frac{\sqrt{199}\sqrt{95}}{95}$$

Hei whakarea \sqrt{199} me \sqrt{95}, whakareatia ngā tau i raro i te pūtake rua.

$$\frac{\sqrt{18905}}{95}$$