Let √ 6 remain as it is
Now, factorise 24, we get 6*2*2
Then, when root is taken we get 2√ 6
Next,
√ 6 + 2√ 6 = 3√ 6
3√ 6 =k√ 6
So, k = 3
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Verified answer
Let √ 6 remain as it is
Now, factorise 24, we get 6*2*2
Then, when root is taken we get 2√ 6
Next,
√ 6 + 2√ 6 = 3√ 6
3√ 6 =k√ 6
So, k = 3