SOLUTION: How would you go about simplifying a square root of fraction such as the square root of 16/81?

Algebra ->  Square-cubic-other-roots -> SOLUTION: How would you go about simplifying a square root of fraction such as the square root of 16/81?       Log On


   



Question 457638: How would you go about simplifying a square root of fraction such as the square root of 16/81?
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
You can plug sqrt(16/81) into the Google search line and it will tell you it = 0.4444444.
.
You can look at the current equation as simply
sqrt%28%2816%29%2F%2881%29%29
or perhaps
sqrt%28%284%2A4%29%2F%289%2A9%29%29
which might give you the idea the answer is:
sqrt%2816%29%2Fsqrt%2881%29
or
4%2F9
.
Checking with a calculator (or the Google built-in calculator), you'll find 4/9 = 0.444444.
.
Done.