Find y, if \(\sqrt{12}-\sqrt{147}+y\sqrt{3} = 0\)

Explanation

\(\sqrt{12}\) -\(\sqrt{147}\) + 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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