Math, asked by sanchitpanwar13, 1 month ago

simplify:-√7-√3/√7+√3​

Answers

Answered by Innocentgirl58
1

By rationalizing the denominator and using identify of (a+b) ^2=a^2+b^2+2ab

Attachments:
Answered by faleehamanal
4

Answer:

\frac{\sqrt{7} - \sqrt{3}}{\sqrt{7} + \sqrt{3}}  X \frac{\sqrt{7} - \sqrt{3}  }{\sqrt{7} - \sqrt{3} } }                                                          

                                                     

= \frac{(\sqrt{7} - \sqrt{3})^{2} }{(\sqrt{7})^{2} - (\sqrt{3})^{2}}                                    [(a-b)^{2} = (a)^{2} - 2ab + (b)^{2} ] \\\[ {(a-b) (a+b) = a^{2} - b^{2} ]

= \frac{(\sqrt{7})^{2} - 2 (\sqrt{7} ) (\sqrt{3}) + (\sqrt{3})^{2}}{7 - 3}

= \frac{7 - 2\sqrt{21} + 3}{4}

= \frac{10 - 2\sqrt{21} }{4}

this is your answer

hope it helps

mark me as a brainlist please

bye..!!

Similar questions