Question 135422
Simplify:
{{{5*sqrt(20)-2*sqrt(125)}}}
The key here is to factor the radicand (the quantity under the radical), then, if any of these factors are perfect squares, take their square root and move the result outside of the radical.
{{{5*sqrt(20)-2*sqrt(125) = 5*sqrt(4*5)-2sqrt(25*5)}}} Rewrite this as:
{{{5*sqrt(2^2*5)-2sqrt(5^2*5)}}} Take the square roots of the squares and move them outside.
{{{5*2sqrt(5)-2*5sqrt(5) = 10sqrt(5)-10sqrt(5)}}} = 0