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The value of 5√3-3+√12+2√75 on simplifying is :

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The value of 5√3-3+√12+2√75 on simplifying is :

Question : The value of 5√3-3+√12+2√75 on simplifying is :

  1. $5 \sqrt{3}$
  2. $6 \sqrt{3}$
  3. $\sqrt{3}$
  4. $9 \sqrt{3}$

Solution: 
Correct option is 1. $9 \sqrt{3}$
The given expression is
$5 \sqrt{3}-3 \sqrt{12}+2 \sqrt{75}$
$=5 \sqrt{3}-6 \sqrt{3}+10 \sqrt{3}$
$=9 \sqrt{3}$
Therefore, option 1 is correct.

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