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1) 125 is the square root of 15625. 2) √125 = √(25 x 5) = √(52x 5) = 5√5
25
sqrt(125) = 11.18034 cube root is 5.
You look for the largest perfect square, and take it out. In this case: root(125) = root(25 x 5) = root(25) x root(5) = 5 x root(5).
You first find a factor of 125 that is also a perfect square. It is 25. Then, write 125 as 5(25). Then, square root the 25, and therefore your answer is 5*sqrt5.