Question 350948
{{{28*sqrt(45)}}} Start with the given expression.



{{{28*sqrt(9*5)}}} Factor 45 as 9*5 (one of the factors must be a perfect square)



{{{28*sqrt(9)*sqrt(5)}}} Break up the root



{{{28*3*sqrt(5)}}} Take the square root of 9 to get 3.



{{{84*sqrt(5)}}} Multiply 28 and 3 to get 84.



So {{{28*sqrt(45)=84*sqrt(5)}}}



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