select all of the following that are like radicals.\n$9sqrt{6ab^{2}}$\n$-5sqrt{6ab^{2}}$\n$4sqrt3{6ab^{2}}$\n…
select all of the following that are like radicals.\n$9sqrt{6ab^{2}}$\n$-5sqrt{6ab^{2}}$\n$4sqrt3{6ab^{2}}$\n$2sqrt{6b^{2}a}$\ndone
Answer
Explanation:
Step1: Recall like - radicals definition
Like radicals have the same index and the same radicand.
Step2: Analyze each option
- For $9\sqrt{6ab^{2}}$, the index is 2 and the radicand is $6ab^{2}$.
- For $- 5\sqrt{6ab^{2}}$, the index is 2 and the radicand is $6ab^{2}$.
- For $4\sqrt[3]{6ab^{2}}$, the index is 3 and the radicand is $6ab^{2}$.
- For $2\sqrt{6b^{2}a}=2\sqrt{6ab^{2}}$, the index is 2 and the radicand is $6ab^{2}$.
Answer:
$9\sqrt{6ab^{2}}$, $-5\sqrt{6ab^{2}}$, $2\sqrt{6b^{2}a}$