Math Problem Statement

solve and only give direct answer no explanation

If a^(1/2) = x, where a > 0, what is a in terms of x?

Solution

The correct answer to the given question is: A) x\sqrt{x}.

Let me know if you need further details or clarifications!

Here are 5 related questions:

  1. What is the inverse of a square root function?
  2. How do you find the derivative of x\sqrt{x}?
  3. What is the domain of the function f(x)=xf(x) = \sqrt{x}?
  4. Can aa be negative in this scenario? Why or why not?
  5. How would the solution change if the equation was a2=xa^2 = x?

Tip: When solving for variables involving square roots, remember to account for both positive and negative roots unless the domain specifies otherwise.

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Math Problem Analysis

Mathematical Concepts

Algebra
Exponents and Roots

Formulas

a^(1/2) = x
Square Root Formula: a = x^2

Theorems

Square Root Theorem

Suitable Grade Level

Grades 9-12