Why it matters

• Simplify radicals to make expressions clean and comparable.
• Add and subtract radicals correctly by combining like radicals.
• Rewrite radicals as rational exponents (and back) for faster solving.
• Use exponent rules to simplify and transform expressions safely.
• Solve radical equations and check for extraneous solutions.
• Build skills used in geometry, physics, chemistry, and standardized tests.

Tip: Always plug solutions back in when radicals are involved.