Question
Simplify: 8x11−−√−10x11−−√ (1 point) Responses 18x22−−√ 18 x square root of 22 −2x11−−√ negative 2 x square root of 11 −2x22−−√ negative 2 x square root of 22 −2x
Answers
GPT-4o mini
To simplify the expression \( 8\sqrt{11} - 10\sqrt{11} \), we can combine the like terms:
1. Identify the like terms: Both terms are multiples of \( \sqrt{11} \).
2. Combine them:
\[
8\sqrt{11} - 10\sqrt{11} = (8 - 10)\sqrt{11} = -2\sqrt{11}
\]
Therefore, the simplified expression is \( -2\sqrt{11} \).
From the provided options, the correct response is:
**−2x√11**.
1. Identify the like terms: Both terms are multiples of \( \sqrt{11} \).
2. Combine them:
\[
8\sqrt{11} - 10\sqrt{11} = (8 - 10)\sqrt{11} = -2\sqrt{11}
\]
Therefore, the simplified expression is \( -2\sqrt{11} \).
From the provided options, the correct response is:
**−2x√11**.