Question 188525
{{{(25y^2)^(1/2)}}}  Start with the given expression.



{{{sqrt(25*y^2)}}} Convert to radical notation.



{{{sqrt(25)*sqrt(y^2)}}} Break up the square root using the identity {{{sqrt(A*B)=sqrt(A)*sqrt(B)}}}.



{{{5*sqrt(y^2)}}} Take the square root of {{{25}}} to get {{{5}}}.



{{{5y}}} Take the square root of {{{y^2}}} to get {{{y}}}.




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Answer:



So {{{(25y^2)^(1/2)}}} simplifies to {{{5y}}}



In other words, {{{(25y^2)^(1/2)=5y}}} where {{{y>=0}}}