Datrys frac{2sqrt{45}+3sqrt{20}}{2sqrt{3}}

Enrhifo

Cwis

Arithmetic

5 problemau tebyg i:

Problemau tebyg o chwiliad gwe

https://socratic.org/questions/how-do-you-rationalize-the-denominator-and-simplify-3sqrt2-2sqrt7-sqrt7-5sqrt2

https://socratic.org/questions/how-do-you-rationalize-the-denominator-and-simplify-2sqrt7-4sqrt2-2sqrt3

https://socratic.org/questions/how-do-you-rationalize-the-denominator-and-simplify-2sqrt-5-3sqrt-2-2sqrt-5-3sqr

https://socratic.org/questions/how-do-you-simplify-frac-sqrt-2-sqrt-3-sqrt-2-sqrt-3

https://socratic.org/questions/how-do-you-rationalize-the-denominator-and-simplify-2sqrt-2-2sqrt-3-sqrt3

https://math.stackexchange.com/questions/3050208/i-calculated-sin-75-circ-as-frac12-sqrt2-frac-sqrt32-sqrt2

Rhannu

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\frac{2\times 3\sqrt{5}+3\sqrt{20}}{2\sqrt{3}}

Ffactora 45=3^{2}\times 5. Ailysgrifennu ail isradd y lluoswm \sqrt{3^{2}\times 5} fel lluoswm ail israddau \sqrt{3^{2}}\sqrt{5}. Cymryd isradd 3^{2}.

\frac{6\sqrt{5}+3\sqrt{20}}{2\sqrt{3}}

Lluosi 2 a 3 i gael 6.

\frac{6\sqrt{5}+3\times 2\sqrt{5}}{2\sqrt{3}}

Ffactora 20=2^{2}\times 5. Ailysgrifennu ail isradd y lluoswm \sqrt{2^{2}\times 5} fel lluoswm ail israddau \sqrt{2^{2}}\sqrt{5}. Cymryd isradd 2^{2}.

\frac{6\sqrt{5}+6\sqrt{5}}{2\sqrt{3}}

Lluosi 3 a 2 i gael 6.

\frac{12\sqrt{5}}{2\sqrt{3}}

Cyfuno 6\sqrt{5} a 6\sqrt{5} i gael 12\sqrt{5}.

\frac{6\sqrt{5}}{\sqrt{3}}

Canslo 2 yn y rhifiadur a'r enwadur.

\frac{6\sqrt{5}\sqrt{3}}{\left(\sqrt{3}\right)^{2}}

Mae'n rhesymoli enwadur \frac{6\sqrt{5}}{\sqrt{3}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{3}.

\frac{6\sqrt{5}\sqrt{3}}{3}

Sgwâr \sqrt{3} yw 3.

\frac{6\sqrt{15}}{3}

I luosi \sqrt{5} a \sqrt{3}, dylid lluosi'r rhifau dan yr ail isradd.