Unformatted text preview: +9 2 simplifies to 16 2 + 5 3 exercise: Simplify 11 − 8 13 − 5 11 − 8 13 exercise: Simplify 5+ exercise: Simplify 20 − 45 8 6 − 5 12 + 2 27 [Answer: 0]
[Answer: 8 6 −4 3] PRECALCULUS 11 Unit 4 – Day 2: MULTIPLYING RADICAL EXPRESSIONS MULTIPLYING RADICALS
There are rules that can be used to work with radicals.
n ab = ( n a )( n b) n a
=
b n
n a
b n a m m
an = The first condition for simplest radical form with square roots is:
the radicand cannot have a factor that is perfect square larger than 1. examples: Simplify (7 5 ) (4 6 ) 7× a) 5 ×4× 7×4×
28 × 5× b) (5 14 6 5× 6 ) (2 5×2× 5× 6 21 ) 14 × 2 ×
14 × 21
21 10 × 7× 3× 7 10 × 28 30 2×
7× 7× 2× 3 10 × 7 × 2×3 70 6
exercises: Simplify
a) ( 7 ) ( 11 ) c) ( 42 ) ( 30 ) b) 6 35 (5 17 ) ( 2 17 ) d) (11 2 ) ( 3 6) 66 3 Unit 4: Day 2 notes  Multiplying Radical Expressions Page 2 of 2 MULTIPLYING RADICAL EXPRESSIONS
Multiplying a monomial to a polynomial: use the Distributive Property.
3x (x + 5y + 2) simplifies to 3x2 + 15xy + 6x Multiplying a radical term to a sum of terms: use the Distributive Property.
example: Simplify 32 ( 2 + 5 3 + 2) o Use the Distributive Property (3 2 )( o Multiply 3(2) Answer: exercise: Simplify 2 ) + ( 3 2 ) ( 5 3 ) + ( 3 2 ) (2)
+ (15 6) + (6 2) 6 + 15 6 + 6 2 5 15 ( 3 −3 6 ) [Answer: 15 5 − 45 10 ] Multiplying a binomial to a binomial: use the Distributive Property.
(a + b)(c + d) becomes a(c + d) + b(c + d) which simplifies to ac + ad + bc + bd Multiplying a radical binomial to a radical binomial: use the Distributive Property.
example: Simplify (7 o Distribute 3 + 2 5 )( 3 − 4 5 ) (7 3 ) ( 3 ) − ( 7 3 ) ( 4 5 ) + (2 5 ) ( 3 ) − (2 5 ) ( 4 5 ) o Multiply exercise: Simplify exercise: Simplify (28 15 ) + ( 2 15 ) − 40 −19 − 26 15 Answer: exercise: Simplify − 21 (
(
( 11 − 7 ) ( 5 11 + 9 ) 5 − 6) [Answer: −26 2 10 + 3 ) ( 10 11 − 8 ] [Answer: 11 − 2
3) 30 ] [Answer: 7] PRECALCULUS 11 Unit 4 – Day 3: DIVIDING RADICAL EXPRESSIONS
n SIMPLIFYING RADICALS ab = (n a ) (n b ) a
=
b n n
n a
b The three conditions for simplest radical form are:
the radicand cannot have a factor that is perfect square larger than 1.
the radicand cannot be a fraction or d...
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This document was uploaded on 02/16/2014 for the course MATH PreCalcul at Holy Cross Regional High School.
 Fall '11
 Aytona
 Calculus, PreCalculus, Radicals

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