Question 294405
True or false? The expression {{{5sqrt(18) }}} is written in simplest radical form.

{{{5sqrt(18)}}}
<pre><font size = 4 color = "indigo"><b>
False.  That is not in simplest radical form because
18 can be written as the perfect square 9 times 2.

{{{5sqrt(9*2)}}}

Take individual square roots of the factors under the radical:

{{{5*sqrt(9)*sqrt(2)}}}

And the square root of 9 is 3, so

{{{5*3*sqrt(2)}}}

and finally

{{{15sqrt(2)}}}

That is the simplest radical form.

Edwin</pre>