Problem

(c)
Write $\sqrt{96}-\sqrt{24}$ in the form $k \sqrt{6}$

Answer

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Answer

\(\boxed{2\sqrt{6}}\) is the final answer

Steps

Step 1 :Given the expression \(\sqrt{96}-\sqrt{24}\)

Step 2 :Factor out the common factor of 6 from both square roots to simplify the expression

Step 3 :This gives us \(4\sqrt{6} - 2\sqrt{6}\)

Step 4 :Simplify the expression to get \(2\sqrt{6}\)

Step 5 :\(\boxed{2\sqrt{6}}\) is the final answer

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