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Home » $ a_5 = a_4 + a_3 = 8 + 5 = 13 $ - AMAZONAWS

$ a_5 = a_4 + a_3 = 8 + 5 = 13 $ - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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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.
$$ a + b = 15 $$
$$ 12a + 8b = 156 $$
From the first equation, $ b = 15 - a $. Substitute into the second:

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