Question 115579
3 radical 54 and b says radical 25x^2y^3
:
{{{3sqrt(54)}}}
Note that you can factor 54 inside the radical
{{{3sqrt(9*6)}}}
note that 9 is a perfect square so we can extract the square root of 9:
{{{3*3sqrt(6)}}}
Which is:
{{{9sqrt(6)}}}
:
:
{{{sqrt(25x^2y^3)}}}
:
You should immediately recognize 25 as a perfect square so we have:
{{{5sqrt(x^2y^2)}}}
And of course x^2 is a perfect square so we have:
{{{5x*sqrt(y^3)}}}
we know that:
{{{5x*sqrt(y*y^2)}}}
therefore:
{{{5xy*sqrt(y)}}}
:
Did this help you understand this stuff?