Question
Subtract. Write your answer in simplest form. \[ 9 \sqrt{35}-5 \sqrt{35} \]
Ask by Chandler Gardner. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The answer is \(4 \sqrt{35}\).
Solution
To subtract the expressions \( 9\sqrt{35} \) and \( 5\sqrt{35} \), you can combine the like terms by subtracting their coefficients:
\[
9\sqrt{35} - 5\sqrt{35} = (9 - 5)\sqrt{35} = 4\sqrt{35}
\]
Since \(\sqrt{35}\) cannot be simplified further (as 35 factors into 5 and 7, which are both prime numbers), the expression is already in its simplest form.
**Answer:** \(4 \sqrt{35}\)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution The Deep Dive
When you subtract \( 5 \sqrt{35} \) from \( 9 \sqrt{35} \), you're left with \( 4 \sqrt{35} \). It's like having 9 apples and eating 5; you're left with 4 apples! So, the answer in its simplest form is: \[ 4 \sqrt{35} \]
