Chapter 2, Squares and Square-roots

Estimate Square Roots

Estimate square root get as close as you can by finding two perfect square roots your number is between. Square root of 10 is in between 3 and 4

Square root

The opposite of the square of a number. Finding the number, when squared, equals the number under the radical sign.

Quotient Property of Square Roots

The square root of a quotient equals the quotient of the square roots of the numerator and denominator

Irrational Numbers

1. Square root of numbers that are not perfect squares are irrational numbers 2. Irrational numbers expressed in decimal form are nonterminating and nonrepeating

perfect squares

a square of a whole number

radical sign

a symbol to indicate the square root

negative root

is indicated by writing a negative symbol in front of the radical

Radicand

the number under the radical sign

principal square root

the positive square root of a number

square of a number

the product of a number and itself

Product Property of Square Roots

the square root of a product is equal to the product of the square roots of the factors

radical in simplest form

when the radicand has no factors that are perfect squares