Germany | Can you solve this ? | A Nice Math Olympiad Radical Simplification
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- เผยแพร่เมื่อ 4 ก.ย. 2024
- This is an interesting question with amazing concepts!
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Lemme provide you with a simpler approach:
√ [25 / (5 - √24) ]
= √25 / [√( 5 - √24)]
= 5 / {√ [ (√3)^2 - 2 (√2) (√3) + (√2)^2]}
= 5 / [√ (√3 - √2)]^2
= 5 / (√3 - √2)
= 5 (√3 + √2) / [(√3 - √2) (√3 + √2)]
= (5√3 + 5√2) / 1
= 5√3 + 5√2
Done
5-sqrt24 = 5-2sqrt6=5-2*sqrt2*sqrt3=(sqrt3-sqrt2)^2
Maybe it is better to take "5" out of the square root first.
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5×(sqrt3+sqrt2)
Answer is 5(√3-√2)
5
Bro how do you know it is a perfect square?
Got it wrong wrong wrong