सोडोवचें 15/2sqrt{5+5} | मायक्रोसॉफ्ट मॅथ सॉलवर

मूल्यांकन करचें

प्रस्नमाची

Arithmetic

कडेन 5 समस्या समान:

वॅब सोदांतल्यान समान समस्या

https://socratic.org/questions/how-do-you-rationalize-the-denominator-and-simplify-6-sqrt-5-5-sqrt-3

https://socratic.org/questions/how-do-you-simplify-5-2sqrt112

https://socratic.org/questions/how-do-you-write-the-complex-number-in-trigonometric-form-5-2-sqrt3-i

वांटचें

क्लिपबोर्डाचेर नक्कल केलां

\frac{15\left(2\sqrt{5}-5\right)}{\left(2\sqrt{5}+5\right)\left(2\sqrt{5}-5\right)}

न्युमरेटर आनी डिनोमिनेटर 2\sqrt{5}-5 न गुणून \frac{15}{2\sqrt{5}+5} चो डिनोमिनेटर रेशनलायझ तर्कसंगत करचो.

\frac{15\left(2\sqrt{5}-5\right)}{\left(2\sqrt{5}\right)^{2}-5^{2}}

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

\frac{15\left(2\sqrt{5}-5\right)}{2^{2}\left(\sqrt{5}\right)^{2}-5^{2}}

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

\frac{15\left(2\sqrt{5}-5\right)}{4\left(\sqrt{5}\right)^{2}-5^{2}}

4 मेळोवंक 2 चो 2 पॉवर मेजचो.

\frac{15\left(2\sqrt{5}-5\right)}{4\times 5-5^{2}}

\sqrt{5} चो वर्ग 5 आसा.

\frac{15\left(2\sqrt{5}-5\right)}{20-5^{2}}

20 मेळोवंक 4 आनी 5 गुणचें.

\frac{15\left(2\sqrt{5}-5\right)}{20-25}

25 मेळोवंक 2 चो 5 पॉवर मेजचो.

\frac{15\left(2\sqrt{5}-5\right)}{-5}

-5 मेळोवंक 20 आनी 25 वजा करचे.