Home » Simplify (3sqrt{12} + 10sqrt{3} – frac{6}{sqrt{3}})

Simplify (3sqrt{12} + 10sqrt{3} – frac{6}{sqrt{3}})

Simplify (3sqrt{12} + 10sqrt{3} – frac{6}{sqrt{3}})

  • A.
    (7sqrt{3})
  • B.
    (10sqrt{3})
  • C.
    (14sqrt{3})
  • D.
    (18sqrt{3})
Correct Answer: Option C
Explanation

(3sqrt{12} + 10sqrt{3} – frac{6}{sqrt{3}})

= (3(sqrt{4 times 3}) + 10sqrt{3} – (frac{6}{sqrt{3}})(frac{sqrt{3}}{sqrt{3}}))

= (6sqrt{3} + 10sqrt{3} – 2sqrt{3})

= (14sqrt{3})

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