tough one , ain't it

Algebra Level 5

Find the value of

12443 + 2 1503283 + 2442 12443 + 2 1503283 + 2442 . \sqrt{12443+2\sqrt{1503283+2442\sqrt{12443+2\sqrt{1503283+2442\sqrt{\cdots}}}}}.

Details and assumptions: Knowing that 12443 is the sum of 3 squares might be useful.


The answer is 123.

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1 solution

Aareyan Manzoor
Dec 19, 2014

read the note from the set 'the Radicals' to understand.

@Aareyan Manzoor Recently, you have been posting awesome problems. Keep it up!I like your problems very much sir!

Anuj Shikarkhane - 6 years, 5 months ago

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yeah problems are great

shivamani patil - 6 years, 5 months ago

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