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What is the simplified form of (√(2) * √(8))?
What is the simplified form of (√(2) * √(8))?
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Practice Questions
1 question
Q1
What is the simplified form of (√(2) * √(8))?
√(16)
4
2√(2)
8
Show Solution
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√(2) * √(8) = √(16) = 4, but simplified is 2√(2).
Questions & Step-by-step Solutions
1 item
Q
Q: What is the simplified form of (√(2) * √(8))?
Solution:
√(2) * √(8) = √(16) = 4, but simplified is 2√(2).
Steps: 11
Show Steps
Step 1: Start with the expression √(2) * √(8).
Step 2: Use the property of square roots that says √(a) * √(b) = √(a * b).
Step 3: Apply this property: √(2) * √(8) = √(2 * 8).
Step 4: Calculate 2 * 8, which equals 16.
Step 5: Now we have √(16).
Step 6: Find the square root of 16, which is 4.
Step 7: However, we want the simplified form, so we go back to √(2) * √(8).
Step 8: Rewrite √(8) as √(4 * 2).
Step 9: Use the property again: √(4 * 2) = √(4) * √(2).
Step 10: Calculate √(4), which is 2.
Step 11: Now we have √(2) * 2 = 2√(2).
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