what is the square root of $ab^{2}$?\n$ab$\n$b\\sqrt{a}$\n$a^{2}b^{2}$\n$b^{2}$

what is the square root of $ab^{2}$?\n$ab$\n$b\\sqrt{a}$\n$a^{2}b^{2}$\n$b^{2}$

what is the square root of $ab^{2}$?\n$ab$\n$b\\sqrt{a}$\n$a^{2}b^{2}$\n$b^{2}$

Answer

Explanation:

Step1: Apply square - root property

$\sqrt{ab^{2}}=\sqrt{a}\cdot\sqrt{b^{2}}$

Step2: Simplify $\sqrt{b^{2}}$

$\sqrt{b^{2}} = |b|$. When we assume $b\geq0$, $\sqrt{b^{2}}=b$. So $\sqrt{ab^{2}}=b\sqrt{a}$

Answer:

B. $b\sqrt{a}$