Question 98188
Rationalize the denominator if necessary. Then simplify each radical expression. Could someone help me I am unable to solve this expression.

{{{(6-sqrt(20))/2}}}
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Its denominator {{{2}}} is already rational 
(contains no roots). So all we can do 
is simplify:

Write {{{20}}} as {{{2*2*5}}}

{{{(6-sqrt(2*2*5))/2}}}

Now write the {{{2*2}}} as {{{2^2}}}

{{{(6-sqrt(2^2*5))/2}}}

Take individual square roots:

{{{(6-sqrt(2^2)sqrt(5))/2}}}

Since {{{sqrt(2^2)}}} = {{{2}}}, we have

{{{(6-2sqrt(5))/2}}}

Now let's make two fractions by putting
each of the terms over the denominator:

{{{6/2-2sqrt(5)/2}}}

Then simplify to:

{{{3-sqrt(5)}}}

Edwin</pre>