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What is the simplified form of (√(a^2) * √(b^2))?
What is the simplified form of (√(a^2) * √(b^2))?
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Q1
What is the simplified form of (√(a^2) * √(b^2))?
ab
a^2b^2
a + b
a + b^2
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√(a^2) * √(b^2) = ab.
Questions & Step-by-step Solutions
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Q
Q: What is the simplified form of (√(a^2) * √(b^2))?
Solution:
√(a^2) * √(b^2) = ab.
Steps: 4
Show Steps
Step 1: Start with the expression √(a^2) * √(b^2).
Step 2: Use the property of square roots that states √(x^2) = |x|. So, √(a^2) = |a| and √(b^2) = |b|.
Step 3: Substitute |a| and |b| into the expression: |a| * |b|.
Step 4: The product |a| * |b| can be simplified to ab if a and b are both positive. Therefore, we write it as ab.
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