Whakaoti i te sqrt{2.92114*10^36/2.96*10^-19}

$$\sqrt{ \frac{ 2.92114 \times { 10 }^{ 36 } }{ 2.96 \times { 10 }^{ -19 } } }$$

Aromātai

$$\frac{50000000000000000000000000\sqrt{5404109}}{37}\approx 3.141451291 \cdot 10^{27}$$

Ngā Upane Otinga

Hei whakawehe i ngā pū o te pūtake kotahi, tangohia te taupū o te tauraro mai i te taupū o te taurunga.

$$\sqrt{\frac{2.92114\times 10^{55}}{2.96}}$$

Tātaihia te 10 mā te pū o 55, kia riro ko 10000000000000000000000000000000000000000000000000000000.

$$\sqrt{\frac{2.92114\times 10000000000000000000000000000000000000000000000000000000}{2.96}}$$

Whakareatia te 2.92114 ki te 10000000000000000000000000000000000000000000000000000000, ka 29211400000000000000000000000000000000000000000000000000.

$$\sqrt{\frac{29211400000000000000000000000000000000000000000000000000}{2.96}}$$

Whakarohaina te \frac{29211400000000000000000000000000000000000000000000000000}{2.96} mā te whakarea i te taurunga me te tauraro ki te 100.

$$\sqrt{\frac{2921140000000000000000000000000000000000000000000000000000}{296}}$$

Whakahekea te hautanga \frac{2921140000000000000000000000000000000000000000000000000000}{296} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 8.

$$\sqrt{\frac{365142500000000000000000000000000000000000000000000000000}{37}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{365142500000000000000000000000000000000000000000000000000}{37}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{365142500000000000000000000000000000000000000000000000000}}{\sqrt{37}}.

$$\frac{\sqrt{365142500000000000000000000000000000000000000000000000000}}{\sqrt{37}}$$

Tauwehea te 365142500000000000000000000000000000000000000000000000000=50000000000000000000000000^{2}\times 146057. Tuhia anō te pūtake rua o te hua \sqrt{50000000000000000000000000^{2}\times 146057} hei hua o ngā pūtake rua \sqrt{50000000000000000000000000^{2}}\sqrt{146057}. Tuhia te pūtakerua o te 50000000000000000000000000^{2}.

$$\frac{50000000000000000000000000\sqrt{146057}}{\sqrt{37}}$$

Whakangāwaritia te tauraro o \frac{50000000000000000000000000\sqrt{146057}}{\sqrt{37}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{37}.

$$\frac{50000000000000000000000000\sqrt{146057}\sqrt{37}}{\left(\sqrt{37}\right)^{2}}$$

Ko te pūrua o \sqrt{37} ko 37.

$$\frac{50000000000000000000000000\sqrt{146057}\sqrt{37}}{37}$$

Hei whakarea \sqrt{146057} me \sqrt{37}, whakareatia ngā tau i raro i te pūtake rua.

$$\frac{50000000000000000000000000\sqrt{5404109}}{37}$$