Скачать или смотреть Olympiad Math|Square root Algebra simplification|Without calculator simplification|

🧠 MIND-BLOWING MATH TRICK! √(96 × 97 × 98 × 99 + 1) = ? Perfect Square Surprise! 😱
Can you guess what √(96 × 97 × 98 × 99 + 1) equals… without using a calculator? Most people think it's going to be some ugly irrational number, but hold on — this expression hides an INCREDIBLE secret: it's actually a PERFECT SQUARE! And the answer is a beautiful whole number that will leave you speechless!
In this video on Math Extreme, we dive deep into one of the most elegant and surprising math puzzles trending among math lovers, competitive exam students (CSS, PMS, GAT, entry tests), and anyone who loves number theory tricks.
🔥 What you'll discover in this video:
Step-by-step simplification of the huge-looking expression under the square root
Clever algebraic identity that turns four consecutive numbers into a perfect square when you add +1
How to pair 96 & 99 and 97 & 98 to make the calculation super fast and beautiful
The exact final answer (spoiler: it's 9505!)
Why expressions like √(n(n+1)(n+2)(n+3) + 1) are almost always perfect squares
Bonus: Similar famous examples (like √(1×2×3×4 + 1), √(8×9×10×11 + 1), etc.) and the general pattern
Pro tips to spot these kinds of problems in math competitions instantly
This is not just calculation — it's pure mathematical magic! Whether you're preparing for university entrance exams, loving Vedic math shortcuts, or just enjoy those "wow" moments in mathematics, this video is for you.
📌 Timestamps:
0:00 – Intro: This looks impossible… but watch!
1:15 – Writing the expression properly
2:40 – First trick: pairing the numbers smartly
4:20 – The key algebraic identity revealed
6:55 – Computing the middle terms
9:10 – Final simplification & the big reveal
10:45 – Verifying the answer
12:20 – General formula & more examples
14:50 – Why +1 makes it perfect square?
16:30 – Challenge for viewers + next video teaser
💡 Did you know? Problems like this appear frequently in math olympiads, SSC, banking exams, and puzzle books because they test creative thinking instead of brute force calculation.
If you love brain-teasing math tricks, number patterns, perfect square surprises, and elegant solutions — hit that LIKE button, SUBSCRIBE to Math Extreme, and turn on the bell 🔔 so you never miss our next mind-bending problem!
🗣️ Comment below:
What was your first guess for the answer?
Have you seen similar problems before?
Which number range should we try next (like 20s, 50s, 100s…)? 👇
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Thanks for watching! Let's keep exploring the beautiful world of mathematics together