SOLUTION: find the value of √(58 + √(31 + √(21 + √(11 + √(25))))) answer with explanation.

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Question 853800: find the value of √(58 + √(31 + √(21 + √(11 + √(25))))) answer with explanation.
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%2858+%2B+sqrt%2831+%2B+sqrt%2821+%2B+sqrt%2811+%2B+sqrt%2825%29%29%29%29%29

Since sqrt%2825%29=5 the preceding becomes:

sqrt%2858+%2B+sqrt%2831+%2B+sqrt%2821+%2B+sqrt%2811+%2B+5%29%29%29%29

Since 11%2B5=16 the preceding becomes:

sqrt%2858+%2B+sqrt%2831+%2B+sqrt%2821+%2B+sqrt%2816%29%29%29%29

Since sqrt%2816%29=4 the preceding becomes:

sqrt%2858+%2B+sqrt%2831+%2B+sqrt%2821+%2B+4%29%29%29 

Since 21%2B4=25 the preceding becomes:

sqrt%2858+%2B+sqrt%2831+%2B+sqrt%2825%29%29%29

Since sqrt%2825%29=5 the preceding becomes:

sqrt%2858+%2B+sqrt%2831+%2B+5%29%29

Since 31%2B5=36 the preceding becomes:

sqrt%2858+%2B+sqrt%2836%29%29

Since sqrt%2836%29=6 the preceding becomes:

sqrt%2858+%2B+6%29

Since 58%2B6=64 the preceding becomes:

sqrt%2864%29

Since sqrt%2864%29=8 the preceding becomes:

8

Edwin