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# help

0
53
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Simplify $$\frac{\sqrt{45 + \sqrt{1}} + \sqrt{45 + \sqrt{2}} + \sqrt{45 + \sqrt{3}} + \dots + \sqrt{45 + \sqrt{2024}}}{\sqrt{45 - \sqrt{1}} + \sqrt{45 - \sqrt{2}} + \sqrt{45 - \sqrt{3}} + \dots + \sqrt{45 - \sqrt{2024}}}$$

Jan 27, 2019

#1
+679
0

Assuming that the numberator is the same as the denominator, the answer is $$\boxed{1}$$

Treat $$\sqrt{45 + \sqrt{1}} + \sqrt{45 + \sqrt{2}} ... + \sqrt{45 + \sqrt{2024}}$$ as X. We will have $$\dfrac{X}{X}$$, which simplifies into 1.

Hope this helps,

- PM

Jan 27, 2019
#2
+97575
0

PM it is not 1/1

The top has + signs and the bottom has - signs. So the ansswer is more than 1

Melody  Jan 27, 2019