Math, asked by aljorajan9918, 1 year ago

Simplify 3 root 3 +2 root 27 +7 upon root 7

Answers

Answered by ucgarg25
0

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Answered by Salmonpanna2022
1

Step-by-step explanation:

 \bf \underline{Solution-} \\

 \sf{ =3 \sqrt{3}   + 2  \sqrt{27}   +  \frac{7}{ \sqrt{3} } } \\

 \sf{ =3 \sqrt{3}   + 2 \times 3 \sqrt{3} +  \frac{7}{ \sqrt{3} }  } \\

 \sf{ = 3\sqrt{3}  + 6 \sqrt{3}  +  \frac{7 \sqrt{3} }{3}  } \\

 \sf{ =  \sqrt{3}  \bigg(3 + 6 +  \frac{7}{3} \bigg) } \\

 \sf{ =  \sqrt{3}  \bigg(9 +  \frac{7}{3} \bigg) } \\

 \sf{ =  \sqrt{3}  \times  \frac{34}{3} } \\

 =  \boxed{ \sf{ \frac{34}{3} \sqrt{3}   }  }\:  \:  \: \bf{ Ans.}\\

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