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Square Roots and Simplifying Radicals
Radical Sign (square root sign)Radicand Numbers or variables under the radical sign
Prime Numbers …
Radicals are in SIMPLEST FORM when..1. No perfect square factors other than 1 are under the radical. No fractions are under the radical. 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.
When you have a pair, bring the number out.EX:2 Simplify When you have a pair, bring the number out.
Variables as RadicandsEven 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:
Warm UP! is the Radicand Which number is the radicand?
Simplifying Radicals. Perfect Squares Perfect Cubes
Aim: How do we simplify radical expressions? Do Now: List at least 3 factors of: x 4.
Examples for Rationalizing the Denominator Examples It is improper for a fraction to have a radical in its denominator. To remove the radical we “rationalize.
Objectives The student will be able to:
Dividing Radicals Note- Notes for rationalizing denominators are included in this powerpoint, yet students are not required to rationalize radical denominators.
Math 025 Section 10.1 Radicals. Perfect square Square root 1 1 = 1 4 4 = 2 9 9 = 3 16 16 = 4 25 25 = 5 36 36 = 6 49 49 = 7 64 64 = 8 81.
11.1 Examples for Simplifying (EX: 1 of 4) Look for factors of 50 that are perfect square numbers. Take the square root of 25. Write it outside the radical.
Square Roots Simplifying Square Roots
Radical (Square Roots) Algebra I. What is a radical? An expression that uses a root, such as square root, cube root.
11.3 Simplifying Radicals Simplifying Radical Expressions.
11-3 Simplifying Radical Expressions Standard 2.0 One Property.
Simplifying Radical Expressions
Objectives The student will be able to: 1. simplify square roots, and 2. simplify radical expressions. SOL: A.3 Designed by Skip Tyler, Varina High School.
Properties and Rules for Exponents Properties and Rules for Radicals
10-1A Simplifying Radicals Algebra 1 Glencoe McGraw-HillLinda Stamper.
9.2 Students will be able to use properties of radicals to simplify radicals. Warm-Up Practice Page 507 – 508 l 41, 42, 45, 46, 55, 57, 59, 65.
Unit 4 Operations & Rules
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