Whakaoti i te sqrt{19/16}-sqrt{144}+sqrt{49}

$$\sqrt { 1 \frac { 9 } { 16 } } - \sqrt { 144 } + \sqrt { 49 }$$

Aromātai

$$-\frac{15}{4}=-3.75$$

Ngā Upane Otinga

Whakareatia te 1 ki te 16, ka 16.

$$\sqrt{\frac{16+9}{16}}-\sqrt{144}+\sqrt{49}$$

Tāpirihia te 16 ki te 9, ka 25.

$$\sqrt{\frac{25}{16}}-\sqrt{144}+\sqrt{49}$$

Tuhia anō te pūtake rua o te whakawehenga \frac{25}{16} hei whakawehenga o ngā pūtake rua \frac{\sqrt{25}}{\sqrt{16}}. Tuhia te pūtakerua o te taurunga me te tauraro.

$$\frac{5}{4}-\sqrt{144}+\sqrt{49}$$

Tātaitia te pūtakerua o 144 kia tae ki 12.

$$\frac{5}{4}-12+\sqrt{49}$$

Me tahuri te 12 ki te hautau \frac{48}{4}.

$$\frac{5}{4}-\frac{48}{4}+\sqrt{49}$$

Tā te mea he rite te tauraro o \frac{5}{4} me \frac{48}{4}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{5-48}{4}+\sqrt{49}$$

Tangohia te 48 i te 5, ka -43.

$$-\frac{43}{4}+\sqrt{49}$$

Tātaitia te pūtakerua o 49 kia tae ki 7.

$$-\frac{43}{4}+7$$

Me tahuri te 7 ki te hautau \frac{28}{4}.

$$-\frac{43}{4}+\frac{28}{4}$$

Tā te mea he rite te tauraro o -\frac{43}{4} me \frac{28}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-43+28}{4}$$

Tāpirihia te -43 ki te 28, ka -15.

$$-\frac{15}{4}$$

Tauwehe

$$-\frac{15}{4} = -3\frac{3}{4} = -3.75$$