Whakaoti i te sqrt{50}-sqrt{18}+sqrt{32}*(a)*sqrt{1}

$$\sqrt { 50 } - \sqrt { 18 } + \sqrt { 32 } \cdot ( a ) \cdot \sqrt { 1 }$$

Aromātai

$$2\sqrt{2}\left(2a+1\right)$$

Ngā Upane Otinga

Tauwehea te 50=5^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{5^{2}\times 2} hei hua o ngā pūtake rua \sqrt{5^{2}}\sqrt{2}. Tuhia te pūtakerua o te 5^{2}.

$$5\sqrt{2}-\sqrt{18}+\sqrt{32}a\sqrt{1}$$

Tauwehea te 18=3^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{3^{2}\times 2} hei hua o ngā pūtake rua \sqrt{3^{2}}\sqrt{2}. Tuhia te pūtakerua o te 3^{2}.

$$5\sqrt{2}-3\sqrt{2}+\sqrt{32}a\sqrt{1}$$

Pahekotia te 5\sqrt{2} me -3\sqrt{2}, ka 2\sqrt{2}.

$$2\sqrt{2}+\sqrt{32}a\sqrt{1}$$

Tauwehea te 32=1\times 32. Tuhia anō te pūtake rua o te hua \sqrt{1\times 32} hei hua o ngā pūtake rua \sqrt{1}\sqrt{32}.

$$2\sqrt{2}+\sqrt{1}\sqrt{32}a\sqrt{1}$$

Whakareatia te \sqrt{1} ki te \sqrt{1}, ka 1.

$$2\sqrt{2}+1a\sqrt{32}$$

Tauwehea te 32=4^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{4^{2}\times 2} hei hua o ngā pūtake rua \sqrt{4^{2}}\sqrt{2}. Tuhia te pūtakerua o te 4^{2}.

$$2\sqrt{2}+1a\times 4\sqrt{2}$$

Whakareatia te 1 ki te 4, ka 4.

$$2\sqrt{2}+4a\sqrt{2}$$

Kimi Pārōnaki e ai ki a

$$4 \sqrt{2} = 5.656854249$$