Simplifying Square-Root Radical Expressions Worksheet
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1
2Notes for Lesson 11-6: Radical Expressions
11-6.1 – Simplifying Square-Root Expressions
Vocabulary:
Radical Expression – An expression that contains a radical (
) sign
Radicand – The number or expression under the radical sign
To simplify a radical expression solve or factor the expression under the radical sign and then take the square
root.
Examples: Simplify each expression.
2
1
1
2
2
2
2
3
4
9
16
25
5
x
8
x
16
x
4
x
4
72
36
6
11-6.2 – Using the Product property of square roots
The product of any square root can be written as the product of the square roots of two factors.
So,
ab
a
*
b
. We do this to help simplify square roots to the lowest possible form.
Examples: Simplify.
4
3
4
2
2
18
9
2
3
2
x
y
x
y
y
x
y
y
128
64
2
8
2
2
2
48
a
b
16
3
a
b
4
a
3
b
11-6.3 – Using the Quotient property of square roots
The same can be said of dividing. The square root of a quotient can be written as the square root of the
numerator over the square root of the denominator.
Examples: Simplify
5
4
4
2
5
5
5
a
a
a
a
9
3
81
a
81
9
9
81
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