Rationalize the denominator of the following expression.

$\frac{z}{\sqrt{y+7z}-2}$

Perform the following operation and evaluate it by applying radical rules and simplification techniques.

∛√(1024)

Simplify the following expression:

Simplify the following expression:

Simplify the following expression, and if possible, evaluate using exact values. Note that the given variables represent positive real numbers.

11∜(mn⁵) - 9n∜(mn)

Simplify the following expression and evaluate using exact values. (√23 + √29)²

Simplify the expression given below. Note that the variables represent positive real numbers.

∜(a⁵b⁶/25c¹⁰)