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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 912
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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