Question 153302
{{{(7*sqrt(100))/(sqrt(500))}}} Start with the given expression.



{{{((7*sqrt(100))/(sqrt(500)))((sqrt(500))/(sqrt(500)))}}} Multiply both the numerator and the denominator by {{{sqrt(500)}}}



{{{(7*sqrt(100)*sqrt(500))/(sqrt(500)*sqrt(500))}}} Combine the fractions



{{{(7*sqrt(50000))/(sqrt(500^2))}}} Combine and multiply the roots.



{{{(7*sqrt(50000))/(500)}}} Take the square root of {{{500^2}}} to get {{{500}}}



{{{(7*100*sqrt(5))/(500)}}} Simplify {{{sqrt(50000)}}} to get {{{100*sqrt(5)}}}



{{{(700*sqrt(5))/(500)}}} Multiply



{{{(7*sqrt(5))/(5)}}} Reduce




So {{{(7*sqrt(100))/(sqrt(500))=(7*sqrt(5))/(5)}}}