Math, asked by jamunavihar6, 2 months ago

√24/8+√54/9
SIMPLIFICATION
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Answers

Answered by mahashweta81
0

Answer:

√24/8 + √54/9

= by doing LCM of 8 and 9 we get 72

= 9.√24 + 8. √54 whole divided by 72

= 102.87 whole divided by 72

= 1.428

answer

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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