Question 432634
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Hi
Note: {{{sqrt(a)sqrt(b) = sqrt(a*b) }}} & {{{( x^m )( x^n ) = x^( m + n )}}}

 {{{sqrt(8x^2y)*sqrt(2xy) = sqrt(8x^2y*2xy) = sqrt(16x^3y^2)= 4xy*sqrt(x)}}}

conjugate of:
{{{4sqrt( 2) - 2sqrt( 3 )}}} is {{{4sqrt(2) + 2sqrt(3)}}}
Note: Multiplying conjugates will remove the radicals
{{{(4sqrt( 2) - 2sqrt( 3 ))(4sqrt(2) + 2sqrt(3))}}} = 32 -12 = 20