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But without T_hour, cannot find unless assume ratio. - American Beagle Club

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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$$ 0 = x^2 - 4x - 3 $$
$$ x = \frac{4 \pm \sqrt{16 + 12}}{2} = \frac{4 \pm \sqrt{28}}{2} = 2...
The solutions are $ \boxed{2 + \sqrt{7}} $ and $ \boxed{2 - \sqrt{7}}...
Question: Rationalize the denominator of $ \frac{\sqrt{5}}{\sqrt{3} -...
Solution: Multiply numerator and denominator by $ \sqrt{3} + \sqrt{2}...
$$ \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:
$$ \sqrt{5}(\sqrt{3} + \sqrt{2}) = \sqrt{15} + \sqrt{10} $$

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