what is the following product?\n$sqrt{10}cdotsqrt{10}$\n10\n$10sqrt{10}$\n100\n$2sqrt{10}$
what is the following product?\n$sqrt{10}cdotsqrt{10}$\n10\n$10sqrt{10}$\n100\n$2sqrt{10}$
Answer
Explanation:
Step1: Recall square - root multiplication rule
For $\sqrt{a}\cdot\sqrt{a}$, by the rule $\sqrt{a}\cdot\sqrt{b}=\sqrt{ab}$ (when $a = b$), we have $\sqrt{10}\cdot\sqrt{10}=\sqrt{10\times10}$.
Step2: Simplify the square - root
$\sqrt{10\times10}=\sqrt{100}$, and $\sqrt{100}=10$.
Answer:
10