Question 474813
Subtract. Simplify by collecting like radical terms if possible.
{{{2sqrt(18)-2sqrt(2)}}}
:
Factor inside the 1st radical to reveal a perfect square
{{{2sqrt(9*2)-2sqrt(2)}}}
Extract the square root of 9
{{{2*3sqrt(2)-2sqrt(2)}}}
{{{6sqrt(2)-2sqrt(2)}}}
now we have like terms so just subtract, leaving us with:
{{{4sqrt(2)}}}
:
:
you can always check these type of problems in a good calc
enter the original problem:{{{2sqrt(18)-2sqrt(2)}}} results in 5.6568..
enter your simplified expression {{{4sqrt(2)}}} results in 5.6568, the same so you know it's right.