Question

simplify:
$3 \sqrt{192 + 1 \div 2 \sqrt{48 - 3 \sqrt{75} } }{?}$


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Answer 1

Question(corrected):

$Simplify:~3 \sqrt{192}-\frac{1}{2} \sqrt{48} - 3 \sqrt{75}$

Solution:

$\tt 3 \sqrt{192}-\frac{1}{2} \sqrt{48} - 3 \sqrt{75} \\\\ \to \tt 3 \times 8\sqrt{3} - \frac{1}{2} \times 4 \sqrt{3}-3 \times 5 \sqrt{3} \\\\ \to \tt 24\sqrt{3} - 2\sqrt{3}-15\sqrt{3} \\\\ \to \tt Taking ~\sqrt{3}~common, we~have~\\\\ \tt \to \sqrt{3}(24-2-15) \\\\ \to \tt \sqrt{3}\times 7 \\\\ \to \tt We~know~the ~value~of ~\sqrt{3}=1.732 \\\\ \tt \to Putting~the~value~, we~get \\\\ \to \tt 1.732 \times 7 \\\\ \to \tt 12.124$

Answer 2

Answer:

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