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Question:
find the value of root 5925 and the use it to find the value of root 156.25 root 1.5625.
Answer:

Given, √(15625) = √(5*5*5*5*5*5)

                       = 5*5*5

                       = 125

Now, √(156.25) = √(15625/100)

                      =  √{(5*5*5*5*5*5)/(10*10)}

                      = (5*5*5)/10

                      = 125/10

                      = 12.5

Now, √(1.5625) = √(15625/10000)

                      =  √{(5*5*5*5*5*5)/(100*100)}

                      = (5*5*5)/100

                      = 125/100

                      = 1.25

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