SOLUTION: Can you please help us solve this absolute value problem? We had submitted it earlier without using the radical sign. Thank you very much! | 3 - √5 | + 4 Without using

Algebra ->  Absolute-value -> SOLUTION: Can you please help us solve this absolute value problem? We had submitted it earlier without using the radical sign. Thank you very much! | 3 - √5 | + 4 Without using      Log On


   

Question 895379: Can you please help us solve this absolute value problem? We had submitted it earlier without using the radical sign. Thank you very much!
| 3 - √5 | + 4
Without using a calculator, simplify the above equation by writing an equivalent expression without absolute-value signs. Do the same for :
| 3 - √10 | + 4. Does your calculator agree?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+sqrt%285%29+ has a value between
+2+ and +3+, but is less than +3
so, +3+-+sqrt%285%29+ is positive, and the
absolute value is not needed
+abs%28+3+-+sqrt%285%29+%29+%2B+4+=+3+-+sqrt%285%29+%2B+4+
+3+-+sqrt%285%29+%2B+4++=+7+-+sqrt%285%29+
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+sqrt%2810%29+ has a value between +3+
and +4+ and is greater than +3+, so
+abs%28+3+-+sqrt%2810%29+%29+=+sqrt%2810%29+-+3+, so
+abs%28+3+-+sqrt%2810%29%29+%2B+4+=+sqrt%2810%29+-+3+%2B+4+
++sqrt%2810%29+-+3+%2B+4+=+sqrt%2810%29+%2B+1+