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