<PRE><B>Question 118119</B>
Perform the indicated operation and simplify.
square root of 18x TIMES square root of 2x cubed
{{{sqrt(18x) * sqrt(2x^3)}}}
:
WE can write everything as exponents.
{{{(18x)^(1/2) * (2x^3)^(1/2)}}}
:
{{{18^(1/2)*x^(1/2)* 2^(1/2)*(x^3)^(1/2)}}}
:
{{{18^(1/2)*x^(1/2)* 2^(1/2)* x^(3/2)}}}
&quot;
Add the exponents of of like terms:
{{{18^(1/2)*2^(1/2)* x^(1/2)*x^(3/2)}}}
:
{{{36^(1/2) * x^(4/2)}}}
:
{{{6x^2}}}
:
:
square root of 5(3 square root of 5 -4)
{{{sqrt(5)}}}({{{3sqrt(5) - 4}}})
:
Multiply both terms inside the brackets by {{{sqrt(5)}}}
3(5) - {{{4sqrt(5)}}}
:
15 - {{{4sqrt(5)}}}</PRE>