____
(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