Simplifying Square Roots_before simplest radical form.notebook
M.I. Simplifying Square Roots
Do Now: If the side of a square is
determine its:
a) Perimeter
b) Area
February 15, 2017
Simplifying Square Roots_before simplest radical form.notebook
February 15, 2017
Summary: To find the area of a square ­
How do we determine the length of one of its sides if we already know it's area?
Model Example:
Given: Area = What is the length of its side?
Reason:
Summary: To find the length of the side of a square...
Simplifying Square Roots_before simplest radical form.notebook
February 15, 2017
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Table of first 15 Pefect Square Roots
Today we will learn how to simplify ANY number under a radical, even if it is not a perfect square..
Simplifying Square Roots_before simplest radical form.notebook
February 15, 2017
Ex 1: If the area of a square is what is the side of the square? * Is a perfect square root? Explain.
*
is an _________ number that
falls between which 2 numbers?
RULE: Explanation:
Simplifying Square Roots_before simplest radical form.notebook
February 15, 2017
To Simplify a Radical Expression
1 ­ Find 2 (Look for the ________ perect square)
2 ­ Simplify the perfect square radicand
3 ­ _______ that number to the "leftover" (non­reducible) radical.
4 ­ Check: Does
Simplifying Square Roots_before simplest radical form.notebook
February 15, 2017
Directions: Express in simplest radical form.
Ex 2a: Ex 2b: Ex 3a: Ex 3b: Simplifying Square Roots_before simplest radical form.notebook
February 15, 2017
What if there are multiple pairs of factors?
Ex 4: Which 2 numbers multiply to 32?
Ex 5: Simplifying Square Roots_before simplest radical form.notebook
Review: Determine the missing measures.
1.
?
3
4
2.
13
5
?
3.
10
?
8
4.
?
3
5
5.
?
2
8
February 15, 2017
Simplifying Square Roots_before simplest radical form.notebook
February 15, 2017
How can we simplify a variable expression under a radical?...
How can we express differently?
=
=
so then =
Simplifying Square Roots_before simplest radical form.notebook
Using your calculator, evaluate: When dealing with fractions...
RULE:
Explanation:
Ex 1: Ex 2: February 15, 2017