Square Roots and Square-Root Functions

Square Roots and Square-Root Functions

When we raise a number to the second power, we say that we have squared

the number. Sometimes we may need to find the number that was squared.

We call this process finding a square root of a number.

SQUARE ROOT

The number c is a square root of  a if   c2 = a.

PROPERTIES OF SQUARE ROOTS

Every positive real number has two real-number square roots.

The number 0 has just one square root, 0 itself.

Negative numbers do not have real-number square roots.*

 

PRINCIPAL SQUARE ROOT

The principal square root of a nonnegative number is its nonnegative

square root. The symbol √a represents the principal square root of a.

To name the negative square root of a, we can write – √a .

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