Question 33399
<pre><font size = 5><b>
  _     __
7<font face = "symbol">Ö</font>3 - 5<font face = "symbol">Ö</font>75

Break 75 into its prime factors: 
75 = 3·25 = 3·5·5 = 3·5²,
so replace 75 by 3·5²
  _     ____
7V3 - 5<font face = "symbol">Ö</font>3·5²

Take individual square roots of 3 and of 5²:
  _     _  __
7<font face = "symbol">Ö</font>3 - 5<font face = "symbol">Ö</font>3·<font face = "symbol">Ö</font>5²

The square root of 5² is just 5
  _     _ 
7<font face = "symbol">Ö</font>3 - 5<font face = "symbol">Ö</font>3·(5)
  _      _ 
7<font face = "symbol">Ö</font>3 - 25<font face = "symbol">Ö</font>3
            _
Factor out <font face = "symbol">Ö</font>3
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<font face = "symbol">Ö</font>3(7 - 25)
  
Combine what's in the parentheses
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<font face = "symbol">Ö</font>3(-18)
    _
-18<font face = "symbol">Ö</font>3

Edwin
AnlytcPhil@aol.com</pre>