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Find y if sqrt 12 - sqrt 147 y sqrt 3 0 - JAMB Mathematics 2007 Question

Find y, if \(\sqrt{12}-\sqrt{147}+y\sqrt{3} = 0\)
A
5
B
1
C
7
D
3
correct option: a
\(\sqrt{12}-\sqrt{147}+y\sqrt{3} = 0\\ \sqrt{4\times 3}-\sqrt{49\times 3}+y\sqrt{3} = 0\\ 2\sqrt{3}-7\sqrt{3}+y\sqrt{3} = 0\\ y\sqrt{3} = 7\sqrt{3} - 2\sqrt{3}\\ y=\frac{5\sqrt{3}}{\sqrt{3}}\\ y = 5\)
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