Inicio
/
Matemáticas
/
Use the Product Rule to Simplify the Radical, Sqrt (18) Sqrt (18)= Square (Simplify Your Answer. Type an Exact Answer, Using Radicals

Problemas

Use the product rule to simplify the radical, sqrt (18) sqrt (18)= square (Simplify your answer. Type an exact answer, using radicals as needed.)

Roztwór

Fabián professionell · Tutor durante 6 años
Weryfikacja ekspertów
4.5 (190 Votos)

Respuesta

To simplify the radical using the product rule for radicals, we follow these steps:### Step 1: Recall the product rule for radicalsThe product rule states: We aim to break down into factors where one of the factors is a perfect square.### Step 2: Factorize The number can be factored as: Here, is a perfect square ( ).### Step 3: Apply the product ruleUsing the product rule, we write: ### Step 4: Simplify the square root of Since , we have: ### Final Answer: