The variable \( y \) varies inversely as the square root of \( x \). When \( x = 4 \), \( y = 6 \). Find the value of \( y \) when \( x = 25 \), and express your answer in the form \(\frac{a\sqrt{b}}{c}\), where \( a \), \( b \), and \( c \) are integers. What is the value of \( a + b + c \)? Let's think step by step and output the final answer within \boxed{}.
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