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Home » Who Wins the Battle? PlayStation vs Xbox in the Ultimate Hardcore Clash! - RedTag Digital

Who Wins the Battle? PlayStation vs Xbox in the Ultimate Hardcore Clash! - RedTag Digital

📅 May 17, 2026 👤 scraface

May 17, 2026

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5Question: Rationalize the denominator of $\displaystyle rac{3}{\sqrt...
Solution: To rationalize the denominator, multiply numerator and denom...
rac{3}{\sqrt{7} - \sqrt{2}} \cdot rac{\sqrt{7} + \sqrt{2}}{\sqrt{7} +...
Using the difference of squares in the denominator:

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But better to check if this matches expected form.
Alternatively, leave in factorial form for exactness:
Instead, use combinatorial interpretation:
Now compute numerically or simplify:
Simplify: divide numerator and denominator by 16:
But this is probability — must be less than 1 — so error in counting.
The mistake: when choosing the remaining $28$ positions, we must accou...
However, the total number of ways to arrange the first 4 positions wit...
Now compute numerical value for verification.
$32!$ is huge, but we can compute the coefficient.

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