Simplify (sqrt{48}) – (frac{9}{sqrt{3}}) + (sqrt{75})
-
A.
5√3 -
B.
6√3 -
C.
8√3 -
D.
18√3
Correct Answer: Option B
Explanation
(sqrt{48}) – (frac{9}{sqrt{3}}) + (sqrt{75})
Rearrange = (sqrt{48}) + (sqrt{75}) – (frac{9}{sqrt{3}})
= (√16 x √3) + (√25 x √3) – (frac{9}{sqrt{3}})
=4√3 + 5√3 – (frac{9}{sqrt{3}})
Rationalize (to) 9√3 = (frac{9}{sqrt{3}}) x (frac{sqrt{3}}{sqrt{3}})
= (frac{9sqrt{3}}{sqrt{9}}) – (frac{9sqrt{3}}{sqrt{3}})
= 3√3