Square Root Definition: a plain-English explanation of what the term means, why it matters in math, and how it is used, followed by worked examples and practice questions so the definition turns into something you can apply.

Math Dictionary / Square Root

Square Root

A square root of a number is a value that multiplies by itself to make that number.

Number SystemGrade 8Algebra 1GEDSATACT

What it means

The square root of 36 is 6 because 6 x 6 = 36.

Also called: radical

Examples

sqrt(25) = 5
sqrt(81) = 9
sqrt(2) is about 1.414

Common mistake

The principal square root is non-negative. sqrt(49) means 7, not -7.

Try one

Question: What is sqrt(144)?

Show answer

12, because 12 x 12 = 144.

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