Square Roots & RadicalsATI TEAS 7 cheat sheet

Undo the square

8 key facts 3 practice questions Reviewed Oct 2026

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Basics

√a asks: what number times itself gives a?
√49 = 7; √144 = 12
A perfect square has a whole-number root

Memorize

1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144
Also 169 (13), 196 (14), 225 (15)

Simplifying

Pull out perfect-square factors: √50 = √25·√2 = 5√2
√a · √b = √(ab)

Estimating

√60 is between 7 and 8, closer to 8 (since 7²=49, 8²=64)

Key takeaway

Undo the square

Before you read

Test yourself first: 3 questions

Question 1 of 3

What is the area of a square with sides of 7 cm?

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