# Chapter P, Prerequisites - Section P.4 - Rational Exponents and Radicals - P.4 Exercises: 47

$9\sqrt{x^2+1}$

#### Work Step by Step

Factor the radicand so that one of the factors is a perfect square to obtain: $=\sqrt{81(x^2+1)} \\=\sqrt{9^2(x^2+1)}$ Simplify the radical to obtain: $=9\sqrt{x^2+1}$

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