Subtract 10√7 − 4√7

Question

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(1 point)
Responses

6 start root 7 end root

4 start root 7 end root

4 start root 14 end root

6√14

Answer 1

To subtract \( 10\sqrt{7} - 4\sqrt{7} \), you combine like terms.

Both terms have the same radical (\(\sqrt{7}\)), so you can subtract the coefficients:

\[ 10\sqrt{7} - 4\sqrt{7} = (10 - 4)\sqrt{7} = 6\sqrt{7} \]

So the answer is:

6√7.