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Simplifying Square roots and simplifying square roots with variables?
for example: sqaure root of 75, how can you simplify it
another would be: sqaure root of 40xyz
2 Answers
- JohnLv 71 decade agoFavorite Answer
We want to look for the factors that are the largest perfect squares possible. What's the biggest perfect square that goes into 75? It's 25, because 75 = 25*3.
So, sqrt(75) = sqrt(25)*sqrt(3) = 5*sqrt(3).
sqrt(40xyz). The biggest perfect square factor of 40 is 4, and x, y, z just have themselves as factors. Therefore,
(sqrt40xyz) = sqrt(4)*sqrt(10)*sqrt(x)*sqrt(y)*sqrt(z) =
Answer: 2sqrt(10xyz).
-John
- 5 years ago
You have to do the square root of each component of this 25 then x^8 then y^6 remember that the square root of x^8 is the same as the (x^8)^(1/2)
