August 22, 2011
1.3 Square Roots
Objectives:
-Estimate Square Roots
-Add, subtract, multiply, and divide square roots
August 22, 2011
The Radical symbol indicates only the positive square root of a
number, called the principal root.
The key to understanding square roots is by knowing the perfect
squares.
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225
August 22, 2011
Estimate the value of the square root between two integers.
1.
So
is between 5 and 6.
2.
So
is between -8 and -7.
August 22, 2011
Simplifying Square Roots
Product Property of Square Roots:
The square root of a product is equal to the product of the
square roots of its factors.
or
or
Examples: Simplify.
August 22, 2011
Simplifying Square Roots
Quotient Property of Square Roots:
The square root of a quotient is equal to the quotient of the
square roots of its dividend and divisor.
or
Examples: Simplify.
or
August 22, 2011
Rationalizing Denominators
If a fraction has a denominator that is a square root, you can
simplify it by rationalizing the denominator.
What you need to do: Multiply both the numerator and
denominator by the radical found in the denominator and
simplify.
Examples: Simplify.
August 22, 2011
Please get out your Worksheet 1.1
We will go over that first today.
TOMORROW I will check for ALL
1.3 homework!!
August 22, 2011
Adding & Subtracting Like Radicals
♣Square roots that have the same radicand are called LIKE
RADICALS terms.
o Examples of like radicals:
o Examples of unlike radicals:
♣To add or subtract square roots:
o Simplify EACH radical term
o Combine LIKE radical terms by adding/subtracting the
coefficients of the radicals.
.
August 22, 2011
Examples:
August 22, 2011
What do you have to remember when you are adding or
subtracting radical expressions?