Solve each equation for the specified variable. (Assume all denominators are nonzero.) d=k√h, for h

Key Concepts

Algebraic Manipulation

Algebraic manipulation involves rearranging equations to isolate a specific variable. This process includes operations such as addition, subtraction, multiplication, and division applied to both sides of the equation. Understanding how to manipulate equations is essential for solving for a variable, as it allows you to express one variable in terms of others.

Square Roots

Square roots are mathematical operations that determine a value that, when multiplied by itself, gives the original number. In the equation d = k√h, the square root of h is involved, which means to solve for h, you will need to square both sides of the equation. This concept is crucial for understanding how to eliminate the square root when isolating the variable.

Isolating Variables

Isolating a variable means rearranging an equation so that the variable is on one side and all other terms are on the opposite side. This is a fundamental skill in algebra, as it allows you to express one variable in terms of others. In the context of the given equation, isolating h requires careful application of algebraic operations to ensure that h is expressed clearly.