Simplify sqrt 48 - frac 9 sqrt 3 sqrt 75 - JAMB Mathematics 1994 Question
Simplify \(\sqrt{48}\) - \(\frac{9}{\sqrt{3}}\) + \(\sqrt{75}\)
A
5√3
B
6√3
C
8√3
D
18√3
correct option: b
(\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{9\sqrt{3}}{\sqrt{9}}) - (\frac{9\sqrt{3}}{\sqrt{3}})
= 3√3
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