# Chapter 8 - Section 8.3 - Operations with Radicals - Exercise Set: 80

$5x\sqrt{2x}$

#### Work Step by Step

$7\sqrt{32x^3}-3x\sqrt{50x}$ Factor out perfect squares. $5\sqrt{(16)(2)(x^2)(x)}-3x\sqrt{(25)(2)(x)}$ Simplify. $(5)(4)(x)\sqrt{2x}-(3x)(5)\sqrt{2x}$ $20x\sqrt{2x}-15x\sqrt{2x}$ Subtract like radicals. $5x\sqrt{2x}$

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