SOLUTION: <pre>I need help with this. Simplify the expression Simplify the expression. __ __ _ <font face = "symbol">Ö</font>63 - 2<font face = "symbol">Ö</font>28 + 5<font f

Algebra ->  Radicals -> SOLUTION: <pre>I need help with this. Simplify the expression Simplify the expression. __ __ _ <font face = "symbol">Ö</font>63 - 2<font face = "symbol">Ö</font>28 + 5<font f      Log On


   



Question 39148:
I need help with this.
Simplify the expression

Simplify the expression. 
 __     __     _
Ö63 - 2Ö28 + 5Ö7


Found 2 solutions by Nate, AnlytcPhil:
Answer by Nate(3500) About Me  (Show Source):
Answer by AnlytcPhil(1806) About Me  (Show Source):
You can put this solution on YOUR website!
I need help with this.
Simplify the expression. 
 __     __     _
Ö63 - 2Ö28 + 5Ö7

The largest perfect square that will divide evenly
into 63 is 9, so we write 63 as 9·7

The largest perfect square that will divide evenly 
into 28 is 4, so we write 28 as 4·7
 ___     ___     _
Ö9·7 - 2Ö4·7 + 5Ö7

Take individual square roots of factors under 
the radical:
 _  _     _  _     _ 
ÖÖ7 - 2ÖÖ7 + 5Ö7
   _       _     _
 3Ö7 - 2·2Ö7 + 5Ö7
    _     _     _ 
  3Ö7 - 4Ö7 + 5Ö7
       _     
     4Ö7 

Edwin
AnlytcPhil@aol.com