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Simplifying radical expressions (addition) A worked example of simplifying an expression that is a sum of several radicals. In this example, we simplify √ (2x²)+4√8+3√ (2x²)+√8.
Course: Algebra 1 > Unit 11. Lesson 2: Radicals. Intro to square roots. Understanding square roots. Square roots. Square root of decimal. Roots of decimals & fractions.
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1. Undistribute the 4th root expression convert to a fraction exponent. (4-2) (3x^5/4)-x^3/2. No absolute value is required from this because both exponents have an odd numerator which would resolve a negative x into a negative radicant and it would not therefore be possible to take a principal 4th root.
Lesson 3: Simplifying square roots. Simplifying square roots. Simplify square roots. Simplifying square roots (variables) Simplify square roots (variables) Simplifying square-root expressions. Simplify square-root expressions. Simplifying square roots review. Exponents & radicals: FAQ.
Worked example: rationalizing the denominator. Simplifying radical expressions (addition) Simplifying radical expressions (subtraction) Simplifying radical expressions: two variables. Simplifying radical expressions: three variables. Simplifying hairy expression with fractional exponents.
Unit 6: Rational exponents and radicals. Our mission is to provide a free, world-class education to anyone, anywhere. Khan Academy is a 501 (c) (3) nonprofit organization. Donate or volunteer today!
In this unit, we review exponent rules and learn about higher-order roots like the cube root (or 3rd root). We'll learn how to calculate these roots and simplify algebraic expressions with radicals.
Learn about the conjugate of complex numbers, how to add and divide using conjugates, and the key property that multiplying a complex number by its conjugate produces a real number. Conjugates are very useful for simplifying division of complex numbers. Created by Sal Khan.
Course: Algebra 1 > Unit 11. Lesson 2: Radicals. Intro to square roots. Understanding square roots. Square roots. Square root of decimal. Roots of decimals & fractions.