Simplifying Radical Expressions1. Simplifying Radical Expressions1. If you're seeing this message, it means we're having trouble loading external resources on our website. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.
This page will help you to simplify a term under a radical sign. Type your term under the radical sign. The little box to the upper left of the radical sign is the power of the radical. Putting a 2 here means square root. Putting a 3 here means cube root, etc.
Cube roots are not "bothered" by a negative under the radical symbol. This is one area where finding a square root and finding a cube root differ. Cube roots (and any other odd roots) are not concerned with negative values under the radical, because perfect cubes can be negative.
A worked example of simplifying the cube root of 27a²b⁵c³ using the properties of exponents. A worked example of simplifying the cube root of 27a²b⁵c³ using the properties of exponents. If you're seeing this message, it means we're having trouble loading external resources on our website.
Simplify a cube root expression by factoring out the cube of a whole number if one is present. Continue factoring until the expression no longer contains the cube of a whole number, and solve for any cube roots of whole numbers that are present.
Learn how to simplify cube roots in this video. To see all my math videos, check out my channel at http://YouTube.com/MathMeeting.
Simplifying a square root isn't as hard as it looks. To simplify a square root, you just have to factor the number and pull the roots of any perfect squares you find out of the radical sign. Once you've memorized a few common perfect squares and know how to factor a number, you'll be well on your way to simplifying the square root.
Operations with cube roots, fourth roots, and other higher-index roots work similarly to square roots, though, in some spots, we'll need to extend our thinking a bit. I'll explain as we go. Simplifying Higher-Index Terms. In the previous pages, we simplified square roots by taking out of the radical any factor which occurred in sets of two.
In this video, the narrator presents the viewer with a quick, painless way of simplifying cube roots. The narrator presents many methods to simplify square roots to appeal to different learning styles. By doing things like dividing the power by the root to figure out the power of a number x, the viewer is better able to tackle square-rooting numbers that may not have friendly roots.
Simplifying Square-Root Terms. To simplify a term containing a square root, we "take out" anything that is a "perfect square"; that is, we factor inside the radical symbol and then we take out in front of that symbol anything that has two copies of the same factor.