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Home » Question: Rationalize the denominator of $ \frac\sqrt5\sqrt3 - \sqrt2 $. - AMAZONAWS

Question: Rationalize the denominator of $ \frac\sqrt5\sqrt3 - \sqrt2 $. - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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\[ (9a + b) - (6a + b) = 10 - 7 \Rightarrow 3a = 3 \Rightarrow a = 1 \...
Substitute \( a = 1 \) into E4:
\[ 6(1) + b = 7 \Rightarrow b = 1 \]
Substitute \( a = 1 \), \( b = 1 \) into E1:
\[ 7(1) + 3(1) + c = 11 \Rightarrow c = 11 - 7 - 3 = 1 \]
Substitute into (1):
\[ 1 + 1 + 1 + d = 4 \Rightarrow d = 1 \]
Thus, \( a = 1 \), \( b = 1 \), \( c = 1 \), \( d = 1 \).
\(\boxed{a = 1, \, b = 1, \, c = 1, \, d = 1}\)
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