https://file.aiquickdraw.com/mathbot/file/1726617455418t2hw0r28.jpg

The problem asks you to evaluate the expression \( a^2 + b^2 \) given the values \( a = 2 \), \( b = 7 \), and \( c = 6 \). The value of \( c \) is not needed here because the expression only involves \( a \) and \( b \).

Now let's calculate:

\[
a^2 + b^2 = 2^2 + 7^2
\]
\[
= 4 + 49 = 53
\]

So, the value of \( a^2 + b^2 \) is 53.

Would you like further details on this, or have any additional questions?

Here are 5 related questions for deeper understanding:
1. What would the result be if \( a = 3 \) and \( b = 4 \)?
2. How does the equation change if you need to evaluate \( a^2 + b^2 + c^2 \)?
3. Can you apply this to a real-world scenario involving Pythagoras' theorem?
4. What happens when both \( a \) and \( b \) are negative?
5. How does this type of problem connect to coordinate geometry?

**Tip:** Always check whether all provided variables are necessary before solving an equation—sometimes extra information is given to distract!

Evaluate if a = 2, b = 7, and c = 6. Find a^2 + b^2.

Learn how to evaluate the expression a^2 + b^2 when a = 2 and b = 7. This simple algebraic problem involves exponents and is suitable for students in Grades 6-8. The calculated value is 53.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation