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3−5\LARGE \sqrt{3} - \sqrt{5} 3−5
Which one of these choices is equivalent to the expression above?
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4(5+1)(54+1)(58+1)(516+1)\large \frac{4}{\big(\sqrt{5} + 1\big)\big(\sqrt[4]{5} + 1\big)\big(\sqrt[8]{5} + 1\big)\big(\sqrt[16]{5} + 1\big)} (5+1)(45+1)(85+1)(165+1)4
If the above expression is equal to xxx, find the value of (x+1)64 (x+1)^{64} (x+1)64.
3+3+2+3+7+48=a+b\sqrt{3+\sqrt{3}+\sqrt{2+\sqrt{3}+\sqrt{7+\sqrt{48}}}} = a + \sqrt{b} 3+3+2+3+7+48=a+b
If aaa and bbb are positive integers, find a+b a + b a+b.
4+4−4+4−4+4−… \large \sqrt{4+\sqrt{4-\sqrt{ 4+\sqrt{4-\sqrt{ 4+\sqrt{4-\dots}}}}}}4+4−4+4−4+4−…
What is the closed form of the above expression?
The equation x+x−2=4 x + \sqrt{x-2} = 4 x+x−2=4 has __________.\text{\_\_\_\_\_\_\_\_\_\_}.__________.
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