Algebra House
  • Ask a Question
    • Answered Questions
  • Examples
  • State Test Practice
    • Algebra 1 State Test Practice
    • Geometry State Test Practice
  • ACT and SAT
  • Calculators
    • Problem Solver
    • Graphing Calculator
    • 3D Graphing Calculator
  • Contact
    • Contact Algebra House
    • Leave a Tip


​​ALGEBRA eXAMPLES

Simplifying Radical Expressions

4/4/2010

0 Comments

 
I've been working on these problems for a little over an hour and i can't for the life of me figure out how to do them.  Can someone walk me through these? Hopefully I'll start to get the hang of it.
1.)  (-2 √15)(4 √21)

2.)   3∛128+5∛16

3.)  √(50x
4)
 
 
These depend on the directions instructing to keep in simplest radical form
or take to a decimal. These
answers will be in simplest radical form.

1.) (-2√15)(4√21)
= -8√315 {multiply}
= -8√9 √35 {depending on the directions whether to take to a decimal or not}
= -8(3)√35 {square root o{
f 9 is 3}
= -24√35
{multiply}

2.) 3∛128+5∛16
==3∛64 ∛2) + 5∛8 ∛2 {break down the cube roots again directions dependent}
= 3(4)∛2 {cube root of 64 is 4}
= 12∛2 {multiply 3 by 4}

3.) √
50x4
=√
25x4√2 {group the perfect squares together under one square root sign}
=
5x2√2 {take the square root of 25x4}  

- Algebra House


0 Comments

Your comment will be posted after it is approved.


Leave a Reply.


    Ask a Question


    Algebra Examples Playlist


    Examples

    All
    All Word Problems
    Basic Math
    Combining Like Terms
    Distributive Property
    Equations Of Lines
    Exponents
    Factoring
    Foil Method
    Functions
    Geometry
    Graphing
    Imaginary Numbers
    Inequalities
    Linear Equations
    Literal Equations
    Miscellaneous
    Percents
    Pythagorean Theorem
    Quadratic Equations
    Radicals
    Simplifying
    Slopes And Intercepts
    Solving Equations
    System Of Equations
    Word Problems Age
    Word Problems Distance
    Word Problems Geometry
    Word Problems Integers
    Word Problems Misc.
    Word Problems Mixture
    Word Problems Money
    Word Problems Number



Algebra House
  • Ask a Question
    • Answered Questions
  • Examples
  • State Test Practice
    • Algebra 1 State Test Practice
    • Geometry State Test Practice
  • ACT and SAT
  • Calculators
    • Problem Solver
    • Graphing Calculator
    • 3D Graphing Calculator
  • Contact
    • Contact Algebra House
    • Leave a Tip