Multiply Square Roots: Finding √a × √b Expression

The product property of square roots says $\sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b}$. This works because taking the square root of a product equals the product of the square roots!

These are completely different! Multiplication of square roots combines them: $\sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b}$. Addition keeps them separate: $\sqrt{a} + \sqrt{b}$ cannot be simplified further.

Yes! You can split $\sqrt{ab}$ into $\sqrt{a} \cdot \sqrt{b}$. This is helpful when simplifying radicals with perfect square factors.

This rule works for any non-negative real numbers a and b. Remember, we can't take square roots of negative numbers in basic algebra!

Think: "When multiplying square roots, multiply what's inside and keep one square root symbol." Try it with simple numbers like $\sqrt{4} \cdot \sqrt{9} = \sqrt{36} = 6$.