Question

simplify.
\sqrt{49z^{6}}
assume that the variable z represents a positive rea

Explanation:

Step1: Split root into product

$\sqrt{49z^6} = \sqrt{49} \cdot \sqrt{z^6}$

Step2: Simplify square root of 49

$\sqrt{49} = 7$

Step3: Simplify square root of $z^6$

$\sqrt{z^6} = z^{6 \cdot \frac{1}{2}} = z^3$

Step4: Multiply the results

$7 \cdot z^3$

Answer:

$7z^3$