The expression you provided seems to have a typo. I assume you meant the square root of \( a^2 + b^2 \). 

The square root of \( a^2 + b^2 \) is represented as:

\[
\sqrt{a^2 + b^2}
\]

This is often encountered in geometry, specifically in the Pythagorean theorem, where it represents the hypotenuse of a right triangle with legs \( a \) and \( b \).

Would you like further clarification or specific examples?

Here are 5 related questions for further exploration:

1. What is the square root of \( 3^2 + 4^2 \)?
2. How is \( \sqrt{a^2 + b^2} \) used in vector magnitude calculation?
3. What happens if \( a \) or \( b \) is negative in \( \sqrt{a^2 + b^2} \)?
4. How can you apply \( \sqrt{a^2 + b^2} \) in 3D geometry?
5. Can the square root of \( a^2 + b^2 \) be simplified further under any condition?

**Tip:** Remember that \( a^2 \) and \( b^2 \) are always non-negative, so \( \sqrt{a^2 + b^2} \) is always a non-negative value.

Understand how to calculate the square root of a^2 + b^2, commonly used in the Pythagorean theorem. Explore its applications in geometry and algebra, and learn how it represents the hypotenuse in a right triangle. Suitable for students in Grades 7-10.

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