what is the simplified form of $sqrt{100x^{36}}$?\n$10x^{18}$\n$10x^{6}$\n$50x^{18}$\n$50x^{6}$

Answer:

A. $10x^{18}$

Explanation:

Step1: Simplify square - root of 100

$\sqrt{100}=10$

Step2: Simplify square - root of $x^{36}$

Using the rule $\sqrt{x^n}=x^{\frac{n}{2}}$, for $n = 36$, we have $\sqrt{x^{36}}=x^{\frac{36}{2}}=x^{18}$

Step3: Combine results

$\sqrt{100x^{36}}=\sqrt{100}\cdot\sqrt{x^{36}} = 10x^{18}$