Question 133120


{{{sqrt(98x^3)}}} Start with the given expression



{{{sqrt(98)sqrt(x^3)}}} Break up the root



{{{7*sqrt(2)*sqrt(x^3))}}} Simplify {{{sqrt(98)}}} to get {{{7*sqrt(2)}}}



{{{7*sqrt(2)*x*sqrt(x)}}} Simplify {{{sqrt(x^3)}}} to get {{{x*sqrt(x)}}}



{{{7x*sqrt(2x)}}} Combine the roots




----------------------------------

Answer:



So {{{sqrt(98x^3)}}} simplifies to {{{7x*sqrt(2x)}}}


In other words,  {{{sqrt(98x^3)=7x*sqrt(2x)}}} where every variable is positive