Subjects algebra

Square Root Extension 44B2C6

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1. The problem is to simplify an expression where both square roots extend to the factor on the right. 2. Recall the property of square roots: $$\sqrt{a} \times \sqrt{b} = \sqrt{a \times b}$$. 3. This means if you have $$\sqrt{x} \times \sqrt{y}$$, you can combine them as $$\sqrt{xy}$$. 4. For example, if the expression is $$\sqrt{2} \times \sqrt{8}$$, then: $$\sqrt{2} \times \sqrt{8} = \sqrt{2 \times 8} = \sqrt{16}$$ 5. Since $$\sqrt{16} = 4$$, the simplified result is 4. 6. This rule helps simplify expressions by combining the factors under one square root when multiplied.