Question

choose two correct answers that are like radicals to \\(\sqrt{11}\\). \\(2\sqrt3{11}\\) \\(-6\sqrt{11}\\) \\(x\sqrt{11}\\) \\(-5\sqrt4{11}\\) \\(6\sqrt3{11}\\)

Explanation:

Step1: Recall like radicals definition

Like radicals have same index and radicand. $\sqrt{11}$ has index 2, radicand 11.

Step2: Analyze each option

• $2\sqrt[3]{11}$: Index 3 ≠ 2, not like.
• $-6\sqrt{11}$: Index 2, radicand 11, like.
• $x\sqrt{11}$: Index 2, radicand 11, like.
• $-5\sqrt[4]{11}$: Index 4 ≠ 2, not like.
• $6\sqrt[3]{11}$: Index 3 ≠ 2, not like.

Answer:

B. $-6\sqrt{11}$, C. $x\sqrt{11}$