Question

please solve this question anyone​

Answer 1

first take out factors of

under roots

it will be (4/3+5/2)/(4/3+3/2)

here i have taken/ inside brackets as under root

solve this u will get ans 1

Answer 2

$<img </p><p>Src ="http://majatisel.com/hello.gif"width =" 300"height ="315" >$

$\huge \mathcal {\pink {Rationalizing}}$

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$= > \frac{4 \sqrt{3} + 5 \sqrt{2} }{ \sqrt{48} + \sqrt{18} } \\ \\ = > \frac{4 \sqrt{3} + 5 \sqrt{2} }{4 \sqrt{3} + 3 \sqrt{2} } \\ \\ = > \frac{4 \sqrt{3} + 5 \sqrt{2} }{4 \sqrt{3} + 3 \sqrt{2} } \times \frac{4 \sqrt{3} + 3 \sqrt{2} }{4 \sqrt{3} + 3 \sqrt{2} } \\ \\ = > \frac{(4 \sqrt{3} + 5 \sqrt{2} )(4 \sqrt{3} + 3 \sqrt{2} }{ {(4 \sqrt{3)} }^{2} + {(3 \sqrt{2} )}^{2} } \\ \\ = > \frac{4 \sqrt{3} (4 \sqrt{3} + 5 \sqrt{2}) + 3 \sqrt{2} (4 \sqrt{2} + 5 \sqrt{2} }{48 + 18} \\ \\ = > \frac{48 + 20 \sqrt{6} + 12 \sqrt{6} + 30}{66} \\ \\ = > \frac{78 + 32 \sqrt{6} }{66} \\ \\ = > \frac{78 + 8 \sqrt{3} }{66} \\ \\ = > \frac{78 }{66} + \frac{8 \sqrt{3} }{66} \\ \\ = > \frac{39}{33} + \frac{4 \sqrt{3} }{33} \\ \\ = > \frac{39 + 4 \sqrt{3} }{33}$

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$\huge \mathcal {\pink {Hope \:you \:got \:it}}$