You need to reduce the given expression to its lowest terms, hence, since the expression contains `x^2` under radical, hence, you need to use the following definition, such that:
`sqrt(x^2) = |x|`
Using the definition of absolute value, yields:
`|x| = +-x`
Hence, you will have to answers after the evaluation of expression, such that:
Considering `|x| = x` , yields:
`5sqrt(x^2) + 2x + 3 = 5x + 2x + 3 `
Adding the coefficients of terms that contain x yields:
`5sqrt(x^2) + 2x + 3 = 7x + 3`
Considering `|x| = -x` , yields:
`5sqrt(x^2) + 2x + 3 = -5x + 2x + 3 `
`5sqrt(x^2) + 2x + 3 =-3x + 3`
Hence, evaluating the expression, you will have two answers, such that: `5sqrt(x^2) + 2x + 3 = 7x + 3` for `x > 0` and `5sqrt(x^2) + 2x + 3 =-3x + 3` , for `x < 0` .
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