# How do you simplify sqrt(36z^8)?

$\sqrt{36 {z}^{8}} = \sqrt{36} \cdot \sqrt{{z}^{8}} = 6 \cdot {z}^{4}$
You can imagine that z is ${\left({z}^{8}\right)}^{\frac{1}{2}}$. Apply the exponent rule and multiply the exponents.