Hey there! I'm happy to help you!
To find the right expression, we simply need to find the square root of everything inside the radical and then put it all together! :)
The square root of 225 is 15, and this is a good square to memorize because it seems to be used a lot. 15*15=225
The square root of 625 is 25.
Now, our fraction is 15/25, and if you divide both by 5 you now have 3/5, so it is now is simplest form.
Since we know that our fraction is three fifths, we can also immediately eliminate the first two answer options!
Now, we need to simplify the exponents. If you multiply two exponents, the numerical values of the exponents will be added. If you did [tex]m^{2} (m^{2})[/tex] it would equal [tex]m^{4}[/tex]. If you take the square root of an exponent, you are essentially dividing the numerical value of that exponent by two because it is the same number multiplied by itself (square) and then the two exponent values are added, so to undo this you just divide each value by two.
This would leave us with [tex]m^2[/tex] and [tex]n^{4}[/tex].
Therefore, the correct answer is [tex]\frac{3}{5} m^{2} n^{4}[/tex].
I hope that this helps! Have a wonderful day!
