Whakaoti i te {l}{sqrt{1/7}*sqrt{28}}{+sqrt{100}}

$$\left. \begin{array} { l } { \sqrt { \frac { 1 } { 7 } } \times \sqrt { 28 } } \\ { + \sqrt { 100 } } \end{array} \right.$$

Aromātai

$$12$$

Ngā Hipanga Rongoā Poto

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{1}{7}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{1}}{\sqrt{7}}.

$$\frac{\sqrt{1}}{\sqrt{7}}\sqrt{28}+\sqrt{100}$$

Tātaitia te pūtakerua o 1 kia tae ki 1.

$$\frac{1}{\sqrt{7}}\sqrt{28}+\sqrt{100}$$

Whakangāwaritia te tauraro o \frac{1}{\sqrt{7}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{7}.

$$\frac{\sqrt{7}}{\left(\sqrt{7}\right)^{2}}\sqrt{28}+\sqrt{100}$$

Ko te pūrua o \sqrt{7} ko 7.

$$\frac{\sqrt{7}}{7}\sqrt{28}+\sqrt{100}$$

Tauwehea te 28=2^{2}\times 7. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 7} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{7}. Tuhia te pūtakerua o te 2^{2}.

$$\frac{\sqrt{7}}{7}\times 2\sqrt{7}+\sqrt{100}$$

Tuhia te \frac{\sqrt{7}}{7}\times 2 hei hautanga kotahi.

$$\frac{\sqrt{7}\times 2}{7}\sqrt{7}+\sqrt{100}$$

Tuhia te \frac{\sqrt{7}\times 2}{7}\sqrt{7} hei hautanga kotahi.

$$\frac{\sqrt{7}\times 2\sqrt{7}}{7}+\sqrt{100}$$

Tātaitia te pūtakerua o 100 kia tae ki 10.

$$\frac{\sqrt{7}\times 2\sqrt{7}}{7}+10$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 10 ki te \frac{7}{7}.

$$\frac{\sqrt{7}\times 2\sqrt{7}}{7}+\frac{10\times 7}{7}$$

Tā te mea he rite te tauraro o \frac{\sqrt{7}\times 2\sqrt{7}}{7} me \frac{10\times 7}{7}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\sqrt{7}\times 2\sqrt{7}+10\times 7}{7}$$

Mahia ngā whakarea i roto o \sqrt{7}\times 2\sqrt{7}+10\times 7.

$$\frac{14+70}{7}$$

Mahia ngā tātaitai i roto o 14+70.

$$\frac{84}{7}$$

Whakawehea te 84 ki te 7, kia riro ko 12.

$$12$$

Tauwehe

$$2^{2}\times 3$$