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Home » Let dimensions be \(x\), \(2x\), \(3x\). - Simpleprint

Let dimensions be \(x\), \(2x\), \(3x\). - Simpleprint

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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Solution: Multiply numerator and denominator by $ \sqrt{3} + \sqrt{2}...
$$ \frac{\sqrt{5}(\sqrt{3} + \sqrt{2})}{(\sqrt{3} - \sqrt{2})(\sqrt{3}...
Simplify denominator:
$$ (\sqrt{3})^2 - (\sqrt{2})^2 = 3 - 2 = 1 $$
Thus, the expression becomes:
$$ \sqrt{5}(\sqrt{3} + \sqrt{2}) = \sqrt{15} + \sqrt{10} $$
The rationalized form is $ \boxed{\sqrt{15} + \sqrt{10}} $.
Question: A science journalist reports that a lab uses two reagents, A...
Solution: Let $ a $ = units of A, $ b $ = units of B.
$$ a + b = 15 $$

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