Question

Write a radical equation that has a solution of 18 .

Short answer

A radical equation that has a solution of 18 is \(\sqrt{324} = 18\).

Step-by-step solution

Understand the solution

We're told the solution of the radical equation we need to create is 18. Hence, using a square root as our radical. We start by squaring the solution which will be \(18^2 = 324\).

Formulate the radical equation

Now, we need to formulate a radical equation that has a solution of 18. Considering we are using a square root, the equation \(\sqrt{x} = 18\), where x can be any number, will yield a solution of 18 if 'x' equals to \(18^2 = 324\). So, the radical equation becomes \(\sqrt{324} = 18\).

Check the solution

Finally, we'll verify if the solution is correct by solving the radical equation \(\sqrt{324}\). The square root of 324 is indeed 18, which confirms that the equation \(\sqrt{324} = 18\) has a solution of 18.