Question 774496
how do you simplify large radicals such as 75 or 120?
{{{sqrt(75)}}}
factor 75 to reveal a perfect square
{{{sqrt(25*3)}}}
extract the square root of 25 and you have
{{{5*sqrt(3)}}}, the simplified form
:
{{{sqrt(120)}}}
{{{sqrt(4*30)}}}
{{{2*sqrt(30)}}}
:
:
what about fraction radicals?
an example: {{{sqrt(72/125)}}}
Factor the numerator and the denominator to reveal perfect squares
{{{sqrt((36*2)/(25*5))}}}
we can extract the square root of 36/25
{{{6/5}}}*{{{sqrt(2/5)}}}
:
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