Question

simplify. assume x is greater than or equal to zero. $sqrt{350x^{10}}$

Explanation:

Step1: Factor 350

$350 = 2\times5^{2}\times7$, so $\sqrt{350x^{10}}=\sqrt{2\times5^{2}\times7\times x^{10}}$.

Step2: Use square - root property $\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}$

$\sqrt{2\times5^{2}\times7\times x^{10}}=\sqrt{5^{2}}\cdot\sqrt{x^{10}}\cdot\sqrt{2\times7}$.

Step3: Simplify square - roots

$\sqrt{5^{2}} = 5$, $\sqrt{x^{10}}=x^{5}$, and $\sqrt{2\times7}=\sqrt{14}$. So the simplified form is $5x^{5}\sqrt{14}$.

Answer:

$5x^{5}\sqrt{14}$