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pav-90 [236]
3 years ago
6

What is the square root of 25p^3 expressed in simplified form?

Mathematics
1 answer:
notka56 [123]3 years ago
6 0
The first step to solving this is to factor out the perfect square of 5²
\sqrt{ 5^{2}  p^{3} }
next,, factor out the perfect square of p³
\sqrt{ 5^{2}  p^{2} x p}
the root of a product is equal to the product of the roots of each factor 
√5² √p² √p
now reduce the first index of the radical and the exponent with 2
5√p² √p
then reduce the second index of the radical and exponent with
5p√p
this means that the correct answer to your question is 5p√p
let me know if you have any further questions
:)
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