Add and Subtract Radicals Practice

Question

Complete this assessment to review what you've learned. It will not count toward your grade.
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Question
Add 28–√+38–√
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Answer 1

To add the radicals \( \sqrt{28} \) and \( \sqrt{38} \), first simplify \( \sqrt{28} \).

1. Simplify \( \sqrt{28} \):
   • \( \sqrt{28} = \sqrt{4 \times 7} = \sqrt{4} \sqrt{7} = 2\sqrt{7} \)

Now, we have: \[ 2\sqrt{7} + \sqrt{38} \] Since \( \sqrt{28} \) is simplified, we can now write: \[ 2\sqrt{7} + \sqrt{38} \] This expression cannot be simplified further because \( \sqrt{7} \) and \( \sqrt{38} \) are not like radicals.

Therefore, the final result is: \[ 2\sqrt{7} + \sqrt{38} \]