Question 399362
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Hi
{{{5*sqrt(32) - 7*sqrt(8) = 5*sqrt(16*2) - 7*sqrt(4*2) = 20*sqrt(2) - 14*sqrt(2) =  6*sqrt(2)}}}

{{{2*sqrt(15xy^3)* 3*sqrt(30x^3y^2) = 6*sqrt(450x^4y^5) =6*sqrt(9*25*2x^4y^5)=90*sqrt(2x^4y^5)}}}

Rules of Exponents:
I.  {{{x^m*x^n = x^(m+n) }}}  
II.  {{{(a^p)^q = a^(p*q)}}}
III. {{{root(a,p)*root(a,q) = root(a,p*q)}}}