Question
Subtract. Write your answer in simplest form. \( 6 \sqrt{15}-2 \sqrt{15} \)
Ask by Edwards Wright. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( 4 \sqrt{15} \)
Solution
To subtract \( 6 \sqrt{15} \) and \( 2 \sqrt{15} \), you can combine like terms. Both terms have the same radical part (\( \sqrt{15} \)), so you simply subtract the coefficients:
\[
6 \sqrt{15} - 2 \sqrt{15} = (6 - 2) \sqrt{15} = 4 \sqrt{15}
\]
**Answer:** \( 4 \sqrt{15} \)
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Simplify this solution Beyond the Answer
When you subtract \( 2 \sqrt{15} \) from \( 6 \sqrt{15} \), you simply combine like terms. Think of it like having 6 apples and giving away 2; you still have 4 apples left, right? So, \( 6 \sqrt{15} - 2 \sqrt{15} = 4 \sqrt{15} \). The answer in simplest form is \( 4 \sqrt{15} \). Make sure you always check if you can simplify further, but in this case, \( \sqrt{15} \) stays as it is because 15 is not a perfect square!
