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Simplify square root of 75/4 + square root of 12/9

Simplify square root of 75/4 + square root of 12/9-example-1
User GhassanPL
by
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1 Answer

7 votes
Answer: (A) -
(19√(3))/(6)

Proof:
\sqrt{(75)/(4)} = (5√(3))/(2)

\sqrt{(12)/(9)} = (2√(3))/(3)

Hence,
\sqrt{(75)/(4)} + \sqrt{(12)/(9)}

= (5√(3))/(2) + (2√(3))/(3)

= (15√(3) + 4√(3))/(6)


= (19√(3))/(6) (ie A)
User Arcenio
by
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