X

We Value Your Privacy

We and our partners use technology such as cookies on our site to personalise content and ads, provide social media features, and analyse our traffic. Click below to consent to the use of this technology across the web. You can change your mind and change your consent choices at anytime by returning to this site.

Update Consent
DISCOVER
×
Loading ...

How to Unsquare a Square Root

Updated November 22, 2016

Exponents represent how many times a number, called the base, should be multiplied by itself. For example, 6^3 is the same as 6 * 6 * 6. When solving an equation for a variable, isolating the variable requires eliminating terms by applying the term's opposite. For example, addition is the opposite of subtraction and multiplication is the opposite of division. The opposite of exponents are roots. The smallest root, or radical, is the square root, denoted by the symbol √.

Loading ...
  1. Solve a radical equation that contains a variable under a square root sign by eliminating the root using a squared exponent. Apply the exponent of 2 to both sides of the equation to keep it equivalent.

  2. Solve the radical equation √(x + 3) = 5. Square both sides of the equation to eliminate the root: (√(x + 3)) = 5^2 becomes x + 3 = 25. Note that the exponent doesn't get applied to the terms on the left because the root and exponent simply cancel each other out.

  3. Finish solving x + 3 = 25 by subtracting 3 from both sides: x = 22. Plug the answer back into the original equation to check: √(22 + 3) = 5 becomes √25 = 5, which is correct.

Loading ...

About the Author

Loading ...