How do you simplify #sqrt(900n^5)#?

1 Answer
Keychain
Jan 23, 2018

#30n^2sqrt(n)#

Explanation:

When solving for square root, you find the factors that appear twice in prime factorization. For example, #sqrt(900n^5)# is #sqrt((2^2)(3^2)(5^2)(n^5))# or #sqrt((30^2)(n^2)n)#. Square root is taking away the squares, so the answer is #30n^2sqrt(n)#

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