Question 1201343
{{{2x^2=450}}}

{{{x^2=225}}}

{{{x^2=9*25=(3^2)(5^2)}}}

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A very quick recheck
{{{225=25*9=5*5*3*3=5*3*5*3=(5*3)(5*3)=15^2}}}
so then {{{225^(1/2)=15}}}
Yes, you are right.
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{{{x^2=225}}}
{{{x=15}}}