Math Forum - Problems Library - Algebra, Exponents & Radicals: Radicals

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Radicals
These problems require knowledge of the rules and properties of radicals.

Related Resources
Interactive resources from our Math Tools project:
   Algebra: Radicals
The closest match in our Ask Dr. Math archives:
   Middle School: Square Roots
NCTM Standards:
   Algebra Standard for Grades 9-12

Access to these problems requires a Membership.

Don't Be Square - Ethel Breuche
Algebra, difficulty level 1. Use pattern recognition and square roots to find the sum of two numbers. ... more>>

Poolish Pride? - Steve Risberg
Algebra, difficulty level 3. Two competitive brothers build rectangular pools of similar shape but different size. Given some information relating the lengths and widths, find the area of the larger pool. ... more>>

A Space Diagonal - Terry Trotter, MATHCOUNTS
Algebra, difficulty level 2. Find the space diagonal of a certain cube in a sequence of cubes. ... more>>

Two Ladders - Terry Trotter
Algebra, difficulty level 2. Find the lengths of two ladders, then find their "differences." ... more>>

What's the Point? - Steve Risberg
Algebra, difficulty level 3. Find all points on a given line such that they are a specified distance from two points in the plane. ... more>>

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