What is the simplest form of the radical expression #4^3sqrt(3x)+5^3sqrt(10x)#?

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Answer 1 · 2018-01-14T01:45:32

#color(blue)(sqrt(x)[" "4^3sqrt(3)+5^3sqrt(10)" "]#

Given:

#color(red)(4^3sqrt(3x)+5^3sqrt(10x))#

#4^3sqrt(3)sqrt(x)+5^3sqrt(10)sqrt(x)#

We can see that #color(blue)(sqrt(x))# is common factor for both terms

Hence, after factoring out the common factor, we have

#color(blue)(sqrt(x)[" "4^3sqrt(3)+5^3sqrt(10)" "]#

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