Question 549120
What is the simplified value of {{{5/sqrt(2)}}}.
<pre>
The idea is to get it in a form that has no square root in the
denominator.

To get it that way we make the number under the radical become a
perfect square.  The smallest perfect square we can make 2 into
by multiplying is 4. So to make the denominator become {{{sqrt(4)}}}
instead of {{{sqrt(2)}}} we multiply the whole fraction by the "unit"
fraction {{{sqrt(2)/sqrt(2)}}} [it's a "unit" fraction because it
equals 1.]

{{{5/sqrt(2)}}}×{{{sqrt(2)/sqrt(2)}}}

Multiplying tops and bottoms (bottoms under the radicals)

{{{(5sqrt(2))/sqrt(4)}}}

Then the square root of 4 is just 2 so the final answer is

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

and there is no square root in the denominator.

Edwin</pre>