College Algebra / Unit 1 Alg 045 short lesson, about 20 seconds
The Product Rule for Simplifying Square Roots
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The idea
The product rule for simplifying square roots splits the root of a product into a product of roots: √(ab) = √a · √b for nonnegative a and b.
In practice
√72 = √36 · √2 = 6√2 — the perfect square walks out from under the radical.
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