Aromātai
3\sqrt{5}\approx 6.708203932
Pātaitai
Arithmetic
5 raruraru e ōrite ana ki:
\frac { 21 \sqrt { 15 } } { \sqrt { 12 } + 5 \sqrt { 3 } }
Tohaina
Kua tāruatia ki te papatopenga
\frac{21\sqrt{15}}{2\sqrt{3}+5\sqrt{3}}
Tauwehea te 12=2^{2}\times 3. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 3} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{3}. Tuhia te pūtakerua o te 2^{2}.
\frac{21\sqrt{15}}{7\sqrt{3}}
Pahekotia te 2\sqrt{3} me 5\sqrt{3}, ka 7\sqrt{3}.
\frac{3\sqrt{15}}{\sqrt{3}}
Me whakakore tahi te 7 i te taurunga me te tauraro.
\frac{3\sqrt{15}\sqrt{3}}{\left(\sqrt{3}\right)^{2}}
Whakangāwaritia te tauraro o \frac{3\sqrt{15}}{\sqrt{3}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{3}.
\frac{3\sqrt{15}\sqrt{3}}{3}
Ko te pūrua o \sqrt{3} ko 3.
\frac{3\sqrt{3}\sqrt{5}\sqrt{3}}{3}
Tauwehea te 15=3\times 5. Tuhia anō te pūtake rua o te hua \sqrt{3\times 5} hei hua o ngā pūtake rua \sqrt{3}\sqrt{5}.
\frac{3\times 3\sqrt{5}}{3}
Whakareatia te \sqrt{3} ki te \sqrt{3}, ka 3.
3\sqrt{5}
Me whakakore te 3 me te 3.
Ngā Tauira
whārite tapawhā
{ x } ^ { 2 } - 4 x - 5 = 0
Āhuahanga
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whārite paerangi
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Arithmetic
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Poukapa
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
whārite Simultaneous
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Whakarerekētanga
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Whakaurunga
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Ngā Tepe
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}