Question

simplify the radical expression.

1. $(sqrt{98})(sqrt{128})$

Explanation:

Step1: Factor radicands into squares

$\sqrt{98} = \sqrt{49 \times 2}$, $\sqrt{128} = \sqrt{64 \times 2}$

Step2: Simplify individual radicals

$\sqrt{49 \times 2} = 7\sqrt{2}$, $\sqrt{64 \times 2} = 8\sqrt{2}$

Step3: Multiply simplified radicals

$7\sqrt{2} \times 8\sqrt{2} = (7 \times 8) \times (\sqrt{2} \times \sqrt{2})$

Step4: Calculate final product

$56 \times 2 = 112$

Answer:

112