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Answer :
We have to simplify the expression , it means
we have to try to factor every number and and every variable , and try to factor out those which can be factored out from the square root
first number is 625
Lets try to write prime factors of 625
625 = 5*5*5*5
Next are x^20 and y^8
Now square root will divide each exponent by 2
So we get
[tex] \sqrt{625x^20y^8} [/tex]
= [tex] \sqrt{5*5*5*5*x^{20}y^8} [/tex]
=[tex] \sqrt{5^4x^{20}y^8} [/tex]
=[tex] 5^2 x^{10} y^4 [/tex]
= [tex] =25x^{10} y^4 [/tex]
So this is the answer.
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