Question 176978
5Radical3+2Radical75
;
{{{5*sqrt(3) + 2*sqrt(75)}}}
:
75 can be factored, factor it to reveal a perfect square
{{{5*sqrt(3) + 2*sqrt(25*3)}}}
:
extract square root of 25
{{{5*sqrt(3) + 2*5*sqrt(3)}}}
:
which is
{{{5*sqrt(3) + 10*sqrt(3)}}}
:
sqrt(3)'s are like terms, so we can just add them together, so we have:
{{{15*sqrt(3)}}}
:
:
you can check this on your calc: enter {{{5*sqrt(3) + 2*sqrt(75)}}} will = 25.98...
now enter our simplified answer: {{{15*sqrt(3)}}} also = 25.98.....confirms your solution