Math, asked by pR1ucazhagoukanania, 1 year ago

under root 24 divided by 8 + square root 54 divided by 9

Answers

Answered by Deeps6
6
root of 3 ( 1+ root of 2)
Answered by Salmonpanna2022
0

Step-by-step explanation:

 \bf \underline{Solution-} \\

 \sf{ \frac{ \sqrt{24} }{8} +  \frac{ \sqrt{54} }{9}  } \\

  \sf{ =  \frac{ \sqrt{4 \times 6} }{8}  +  \frac{ \sqrt{9 \times 6} }{9} } \\

  \sf{ =  \frac{ \sqrt{6} }{4}  +  \frac{ \sqrt{6} }{3} } \\

  \sf{ =  \sqrt{6} \bigg( \frac{1}{4}   +  \frac{1}{3} \bigg) } \\

\textsf{Take the LCM of denominator 3 and 4 is 12.}\\

  \sf{ = \sqrt{6}   \bigg( \frac{3 + 4}{12}  \bigg)} \\

  \sf{  = \frac{7 \sqrt{6} }{12} } \:  \:  \bf{Ans.} \\

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