How do you simplify the 9 square root 125?

1 Answer
Mar 11, 2018

Answer:

Radical form simplified: #45sqrt5#
Decimal form simplified: Around #100.62#

Explanation:

By 9 square root 125 I suppose you mean #9sqrt125#.

I'm not sure whether you want the simplified version to be in radical form or decimal form, but I'll show both.

Radical form :
To simplify this radical further, we have to see if the thing inside the #sqrt# has factors that are squarerootable (that's not a word). We know that #125# is divisible by #25#, and #25# can be square rooted to #5#. So #sqrt(125) = sqrt(5 * 25) = 5sqrt5#.

Remember we still have the #9# in front, meaning that it becomes:
#9 * 5sqrt5 = 45sqrt5#

Decimal form :
First, we plug into the calculator #sqrt125# to find the value of that, which is about #11.18#. Then we multiply this by #9# and get about #100.62#

Hope this helps!