सोडोवचें frac{1-4sqrt{5}-3}{3-sqrt{5}-sqrt{5}+2}= | मायक्रोसॉफ्ट मॅथ सॉलवर

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सोडोवणी पांवडे

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Arithmetic

वॅब सोदांतल्यान समान समस्या

https://socratic.org/questions/how-do-you-order-the-following-from-least-to-greatest-7-2-sqrt11-sqrt16-3-3-sqrt

https://socratic.org/questions/how-do-you-rationalize-the-denominator-and-simplify-2sqrt12-sqrt5-sqrt5-4sqrt3

https://www.quora.com/How-do-you-rationalize-the-denominator-of-the-expression-frac-5-sqrt-2-2-sqrt-5-sqrt-2-sqrt-5

वांटचें

क्लिपबोर्डाचेर नक्कल केलां

\frac{-2-4\sqrt{5}}{3-\sqrt{5}-\sqrt{5}+2}

-2 मेळोवंक 1 आनी 3 वजा करचे.

\frac{-2-4\sqrt{5}}{3-2\sqrt{5}+2}

-2\sqrt{5} मेळोवंक -\sqrt{5} आनी -\sqrt{5} एकठांय करचें.

\frac{-2-4\sqrt{5}}{5-2\sqrt{5}}

5 मेळोवंक 3 आनी 2 ची बेरीज करची.

\frac{\left(-2-4\sqrt{5}\right)\left(5+2\sqrt{5}\right)}{\left(5-2\sqrt{5}\right)\left(5+2\sqrt{5}\right)}

न्युमरेटर आनी डिनोमिनेटर 5+2\sqrt{5} न गुणून \frac{-2-4\sqrt{5}}{5-2\sqrt{5}} चो डिनोमिनेटर रेशनलायझ तर्कसंगत करचो.

\frac{\left(-2-4\sqrt{5}\right)\left(5+2\sqrt{5}\right)}{5^{2}-\left(-2\sqrt{5}\right)^{2}}

विचारांत घेयात \left(5-2\sqrt{5}\right)\left(5+2\sqrt{5}\right). नेम वापरून गुणाकार विभिन्न चवकोनांत रुपांतरण करूं येताः \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

\frac{\left(-2-4\sqrt{5}\right)\left(5+2\sqrt{5}\right)}{25-\left(-2\sqrt{5}\right)^{2}}

25 मेळोवंक 2 चो 5 पॉवर मेजचो.

\frac{\left(-2-4\sqrt{5}\right)\left(5+2\sqrt{5}\right)}{25-\left(-2\right)^{2}\left(\sqrt{5}\right)^{2}}

\left(-2\sqrt{5}\right)^{2} विस्तारीत करचो.

\frac{\left(-2-4\sqrt{5}\right)\left(5+2\sqrt{5}\right)}{25-4\left(\sqrt{5}\right)^{2}}

4 मेळोवंक 2 चो -2 पॉवर मेजचो.

\frac{\left(-2-4\sqrt{5}\right)\left(5+2\sqrt{5}\right)}{25-4\times 5}

\sqrt{5} चो वर्ग 5 आसा.

\frac{\left(-2-4\sqrt{5}\right)\left(5+2\sqrt{5}\right)}{25-20}

20 मेळोवंक 4 आनी 5 गुणचें.

\frac{\left(-2-4\sqrt{5}\right)\left(5+2\sqrt{5}\right)}{5}

5 मेळोवंक 25 आनी 20 वजा करचे.