body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Pearson Algebra 2 Common Core, 2011

PA

Pearson Algebra 2 Common Core, 2011 View details

5. Solving Square Root and Other Radical Equations

Continue to next subchapter

Exercise 40 Page 395

Isolate the variable expressions, then raise each side of the equation to the greater reciprocal of the rational exponents. Remember to check your solutions.

$6$

Practice makes perfect

To solve equations with a variable expression raised to a rational exponent, we raise each side of the equation to the greater reciprocal of the rational exponents.

x^{\frac{m}{n}} = k \Leftrightarrow (x^{\frac{m}{n}})^{\frac{n}{m}} = k^{\frac{n}{m}}

Let's try to solve our equation using this method!

Finding the Solutions

We will first rearrange the equation such that the variable terms are on two different sides of the equation.

A shortcut to better grades

Download the app and create a free account to view full content

Subchapter links

Lesson Check p.394

Practice and Problem-Solving Exercises p.395-397

Standardized Test Prep p.397