To simplify the square root of 98, follow these steps:

1. Factor 98 into its prime factors:  
   \( 98 = 2 \times 7^2 \)
   
2. Take the square root of each factor:  
   \( \sqrt{98} = \sqrt{2 \times 7^2} = 7 \times \sqrt{2} \)

Thus, the simplified form of \( \sqrt{98} \) is:
\[
\boxed{7\sqrt{2}}
\]

Would you like further clarification or more details on this?

Here are 5 related questions to explore:

1. How do you simplify square roots of other numbers?
2. What is the square root of 50 simplified?
3. Can square roots always be simplified?
4. How do you rationalize a denominator involving square roots?
5. How do you solve equations involving square roots?

**Tip:** When simplifying square roots, always look for perfect squares within the factors of the number.

Simplify the square root of 98 using prime factorization. Learn how √98 simplifies to 7√2 by factoring and using the square root property. This guide is perfect for middle school students and anyone looking to understand square root simplification.

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