Simplifying radicals doesn’t have to be complicated. The key is learning how to identify perfect square factors hidden inside the radical and use them to rewrite the expression in simplest form.
In this video, you’ll learn a step-by-step method for simplifying square roots by breaking numbers into factors, finding the largest perfect square, and pulling those factors outside the radical.
In this lesson you’ll learn:
• What it means to simplify a radical
• How to identify perfect squares
• How to factor numbers under a radical
• How to rewrite radicals in simplest form
• How to simplify expressions like √18, √50, √72, and √98
• Common mistakes students make when simplifying radicals
By the end of this lesson, you’ll be able to simplify radicals with confidence and understand why the process works—not just memorize the steps.
Whether you’re taking Algebra 1, Algebra 2, Geometry, College Algebra, or preparing for the ACT, simplifying radicals is an essential skill that appears throughout mathematics.
