Whakaoti i te 711+196*34/sqrt{46224}

$$711 + 196 \times \frac { 34 } { \sqrt { 46224 } }$$

Aromātai

$$\frac{1666\sqrt{321}}{963}+711\approx 741.995684109$$

Ngā Hipanga Rongoā Poto

Tauwehea te 46224=12^{2}\times 321. Tuhia anō te pūtake rua o te hua \sqrt{12^{2}\times 321} hei hua o ngā pūtake rua \sqrt{12^{2}}\sqrt{321}. Tuhia te pūtakerua o te 12^{2}.

$$711+196\times \frac{34}{12\sqrt{321}}$$

Whakangāwaritia te tauraro o \frac{34}{12\sqrt{321}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{321}.

$$711+196\times \frac{34\sqrt{321}}{12\left(\sqrt{321}\right)^{2}}$$

Ko te pūrua o \sqrt{321} ko 321.

$$711+196\times \frac{34\sqrt{321}}{12\times 321}$$

Me whakakore tahi te 2 i te taurunga me te tauraro.

$$711+196\times \frac{17\sqrt{321}}{6\times 321}$$

Whakareatia te 6 ki te 321, ka 1926.

$$711+196\times \frac{17\sqrt{321}}{1926}$$

Tuhia te 196\times \frac{17\sqrt{321}}{1926} hei hautanga kotahi.

$$711+\frac{196\times 17\sqrt{321}}{1926}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 711 ki te \frac{1926}{1926}.

$$\frac{711\times 1926}{1926}+\frac{196\times 17\sqrt{321}}{1926}$$

Tā te mea he rite te tauraro o \frac{711\times 1926}{1926} me \frac{196\times 17\sqrt{321}}{1926}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{711\times 1926+196\times 17\sqrt{321}}{1926}$$

Mahia ngā whakarea i roto o 711\times 1926+196\times 17\sqrt{321}.

$$\frac{1369386+3332\sqrt{321}}{1926}$$