[division of radicals][section 61]
____
(1.) √4/25 here is the problem

= 2/5 take square root
_____
(2.) √7/36 here is the problem
_
= √7/6 take square root of 36
_____
(3.) √10/81 here is the problem
__
= √10/9 take square root of 81
_______
(4.) 5√24/121 here is the problem
_ _ ___
= 5√6√4/√121 factor like this
_
= 5(2)√6/11 take square root
_
= 10√6/11 multiply
_______
(5.) 9√27/169 here is the problem
_ _ ___
= 9√9√3/√169 factor like this
_
= 9(3)√3/13 take square root
_
= 27√3/13 multiply
______
(6.) 7√75/625 here is the problem
__ _ ___
= 7√25√5/√625 factor
_
= 7(5)√5/25 take square root
_
= 35√5/25 multiply
_
= 7√5/5 reduce
______
(7.) 2√12/225 here is the problem
_ _ ___
= 2√4√3/√225 factor
_
= 2(2)√3/15 take square root
_
= 4√3/15 multiply
_____
(8.) 3√6/100 here is the problem
_
= 3√6/10 take square root
____
(9.) √3/49 here is the problem
_
= √3/7 take square root
____
(10.) 6√3/64 here is the problem
_
= 6√3/8 take square root
_
= 3√3/4 reduce