Question 373883
{{{root(4,36)*sqrt(5)}}} Start with the given expression.



{{{(36)^(1/4)*(5)^(1/2)^""}}} Convert to rational exponent notation.



{{{(36)^(1/4)*(5)^(2/4)^""}}} Rewrite {{{1/2}}} as {{{2/4}}}



{{{((36)^1*(5)^2)^(1/4)^""}}} Factor out {{{1/4}}} from the exponents.



{{{(36*25)^(1/4)^""}}} Square 5 to get 25



{{{(900)^(1/4)^""}}} Multiply



{{{root(4,900)}}} Convert back to radical notation.



So {{{root(4,36)*sqrt(5)=root(4,900)}}}



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