Question

select all that are like radicals to \\(sqrt{11}\\). \\(6sqrt3{11}\\) \\(xsqrt{11}\\) \\(2sqrt3{11}\\) \\(-5sqrt4{11}\\) \\(-6sqrt{11}\\)

Explanation:

Step1: Define like radicals

Like radicals have the same radicand (number under the root) and the same index (root degree). For $\sqrt{11}$, the index is 2 (implied for square roots) and radicand is 11.

Step2: Check each option

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

Answer:

$x\sqrt{11}$, $-6\sqrt{11}$