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Square Roots and Simplifying Radicals
Numbers or variables under the radical sign
Prime Numbers …
1. No perfect square factors other than 1 are under the radical. 2. No fractions are under the radical. 3. No radicals are in the denominator.
When you have a pair, bring the number out. EX:1 Simplify.
When you have a pair, bring the number out. EX:2 Simplify
Variables as Radicands Even Exponent – ODD Exponent – Take HALF out (nothing left under the radical) Leave ONE under the radical and take HALF of the rest out
Radicals are in simplest form when: No factor of the radicand is a perfect square other than 1.No factor of the radicand is a perfect square other than.
Simplify, Add, Subtract, Multiply and Divide Square Roots.
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Copyright © 2007 Pearson Education, Inc. Slide R-2 Chapter R: Reference: Basic Algebraic Concepts R.1Review of Exponents and Polynomials R.2Review of.
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R.8 nth Roots and Rational Expressions In this section, we will… Evaluate nth Roots Simplify Radical Expressions Add, Subtract, Multiply and Divide Radical.
Warm up Simplify EOCT Practice a a)b - 8 b)b + 8 c)b - 15 d)b + 15 The area of a rectangle is b 2 – 5b – 24 square centimeters. Its width is.
Simplify Radical Expressions What steps would you take in simplifying the following: (3+9 2 )
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Algebra II Honors—Day 13. Warmup Pick up the handouts on the table. Do as many of the “Perfect Squares” on the back as you can in 1 minute. Then try the.
Find the product. 1.(2x + 3)(3x – 7) 2.(x – 11)(x + 11) = 6x 2 – 5x – 21 = x 2 – 121 = 5(2x + 5) Factor x x x 5. x 3 + 2x 2 + 4x.
6.1 ROOTS AND R ADICAL E XPRESSIONS 6.2 M ULTIPLYING AND D IVIDING R ADICAL E XPRESSIONS Algebra II w/ trig.
Simplifying Radicals. Perfect Squares
6.3 BINOMIAL RADICAL EXPRESSIONS Algebra II w/ trig.
5.7 R ATIONAL E XPONENTS 5.8 R ADICAL EQUATIONS Algebra II w/ trig.
To divide radicals: divide the coefficients, divide the radicands if possible, and rationalize the denominator so that no radical remains in the denominator.
All positive real numbers have two square roots, a positive square root and a negative square root. A square root is written with the (radical symbol).
MY MATH VOCABULARY By Trevor Dunn. COMPOSITE NUMBER A composite Number is a number that has more then two factors. For example, 12 is a Composite Number.
Dividing Monomials. For all integers m and n and any nonzero number a …… When the problems look like this, and the bases are the same, you will subtract.
9-1 Square Roots and the Pythagorean Theorem The square of 7 is 7 2 = 49 Also,( -7) 2 =49 The reverse of the square of a number is the square root of a.
Introduction to Radicals Radical Expressions Finding a root of a number is the inverse operation of raising a number to a power. This symbol is the radical.
10.5 Addition and Subtraction with unlike denominators Steps: 1.Find a least common denominator (LCD) 2.Rename fractions 3.Add or subtract numerators.
Monday, April 28, 2014Algebra 2 GT Objective: We will explore and define ways to simplify radical expressions. Warm Up: Rewrite each as an exponential.
CHAPTER 11 Rational and Irrational Numbers. Rational Numbers 11-1 Properties of Rational Numbers.
CPM Section 2.1 Part II Normal Domains. Once again, the domain of a relation such as would be _____________________________________, while the range would.
Objective SWBAT simplify rational expressions, add, subtract, multiply, and divide rational expressions and solve rational equations SWBAT simplify rational.
There is an agreement in mathematics that we dont leave a radical in the denominator of a fraction.
2-7 Distributive Property Assignment 2-7/91-92/ 2-68 eoe (every other even)
Warm Up Divide the complex number 3 – 2i 1 + i Multiply the complex number (3 -2i)(1+i)
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