Download Holt Algebra 1 11-7

Adding and Subtracting
11-7 Radical Expressions
Warm Up
Simplify each expression.
1. 14x + 15y – 12y + x 15x + 3y
2. 9xy + 2xy – 8xy 3xy
3. –3(a + b) +
Holt Algebra 1
–3a – b + 10
Adding and Subtracting
11-7 Radical Expressions
Solve using square roots. Check your answer.
x2 = 169
x   169
2
x  13
Holt Algebra 1
Adding and Subtracting
11-7 Radical Expressions
Objective
Add and subtract radical expressions.
Holt Algebra 1
Adding and Subtracting
11-7 Radical Expressions
Square-root expressions with the same radicand are
examples of like radicals.
Holt Algebra 1
Adding and Subtracting
11-7 Radical Expressions
Like radicals can be combined by adding or subtracting.
You can use the Distributive Property to show how this
is done:
Notice that you can combine like radicals by adding or
subtracting the numbers multiplied by the radical and
keeping the radical the same.
Holt Algebra 1
Adding and Subtracting
11-7 Radical Expressions
Helpful Hint
Combining like radicals is similar to combining
like terms.
Holt Algebra 1
Adding and Subtracting
11-7 Radical Expressions
Add or subtract.
E.
A.
5 3
B.
 2 s  8 5s  s

C.
 6 m
D.
Holt Algebra 1
 11 xy  2 y
2 8 5

Adding and Subtracting
11-7 Radical Expressions
Sometimes radicals do not appear to be like
until they are simplified, Simplify all radicals in
an expression before trying to identify like
radicals.
Holt Algebra 1
Adding and Subtracting
11-7 Radical Expressions
Simplify each expression.
 95  45  3 5  2 5  5
 9 25  3  2 25  2  45 3  10 2
 25  3 y  2 9  3 y  16  3 y
 5 3y  6 3y  4 3y  3 3y
Holt Algebra 1
Adding and Subtracting
11-7 Radical Expressions
Remember!
When you write a radicand as a product, make at
least one factor a perfect square.
Holt Algebra 1
Adding and Subtracting
11-7 Radical Expressions
Simplify each expression.
 96  46  3 6  2 6  5 6
 4 9  3  9  2  12 3  3 2
 4  3y  9  3y  2 3y  3 3y  5 3y
Holt Algebra 1
Adding and Subtracting
11-7 Radical Expressions
Find the perimeter of the
triangle. Give the answer
as a radical expression in
simplest form.
P  3 20  13 5  10
 3 4  5  13 5  10
 6 5  13 5  10
 19 5  10 mm
HW pp. 813-815/15-30,32,34,36,38,39,41-47 Odd,
49-63 Odd,71-78
Holt Algebra 1