Denestifying nested radicals
3 + 3 + 2 + 3 + 7 + 4 8 = a + b
If a and b are positive integers, find a + b .
The answer is 4.
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2 solutions
Nice use of the identity!
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Thank you :)
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Where does this identity come from? if there are other identities it would be nice if they had a wiki dedicated to them.
Wow what a solution!!!!!!!!!!.
Nice work mate
Nice one dude
They don't ask a+sqrt(b), they ask a+b! Nice solution!
48 is missing on mobile,it's not fit at screen of mobile
The question should say evaluate, not simplify.
No use of given identity in above
Very creative solution
Great solution
Nice! I forgot that identity lol
✓a + ✓b = 4
I got the same answer: 1 + 3^(1/2), 2.7321,27321 E-4,2.732...but none of the answers the system was accepting...Alas!
It is wrong. Because they asked to find 'a+b'. But you found "a+square root of b" .you did the problem correctly but you made a mistake at last. So, the answer is 3+1=4
7 + 4 8 = 2 + 3 2 ( 2 + 3 ) = 1 + 3 4 + 2 3 = 1 + 3
First note that a + b + 2 a b = a + b 3 + 3 + 2 + 3 + 7 + 4 8 = 3 + 3 + 2 + 3 + 4 + 3 + 2 1 2 = 3 + 3 + 2 + 3 + 4 + 3 = 3 + 3 + 4 + 2 3 = 3 + 3 + 3 + 1 = 4 + 2 3 = 3 + 1 ≈ 2 . 7 3 2