Algebra
Tutorials!
 
   
Home
Exponents and Radicals
Division of Radicals
Exponents and Radicals
RADICALS & RATIONAL EXPONENTS
Radicals and Rational Exponents
Radical Equations
Solving Radical Equations
Roots and Radicals
RADICAL EQUATION
Simplifying Radical Expressions
Radical Expressions
Solving Radical Equations
Solving Radical Equations
Exponents and Radicals
Exponents and Radicals
Roots;Rational Exponents;Radical Equations
Solving and graphing radical equations
Solving Radical Equations
Radicals and Rational Exponents
exponential_and_radical_properties
Roots, Radicals, and Root Functions
Multiplication of Radicals
Solving Radical Equations
Radical Expressions and Equations
SOLVING RADICAL EQUATIONS
Equations Containing Radicals and Complex Numbers
Square Roots and Radicals
Solving Radical Equations in One Variable Algebraically
Polynomials and Radicals
Roots,Radicals,and Fractional Exponents
Adding, Subtracting, and Multiplying Radical Expressions
Square Formula and Powers with Radicals
Simplifying Radicals
Exponents and Radicals Practice
Solving Radical Equations
Solving Radical Equations
Solving Radical Equations
Lecture-Radical Expressions
Radical Functions
   
Try the Free Math Solver or Scroll down to Tutorials!

 

 

 

 

 

 

 

 
 
 
 
 
 
 
 
 

 

 

 
 
 
 
 
 
 
 
 

Please use this form if you would like
to have this math solver on your website,
free of charge.


Roots and Radicals

Section 10.1 Solving Quadratic Equations by the Square Root Property

The Square root Property

Ex:

Solve:

Ex:

Ex:

Ex:

Ex:

Ex:

Ex:

Ex:

Ex:

Ex:

Ex:

Ex:

Solve each quadratic equation by first factoring the perfect square trinomial on
the left side. Then apply the square root property. Simplify radicals, if possible.

EX:

EX:

Use the Pythagorean Theorem to find the missing length in each right triangle.
Express the answer in radical form and simplify, if possible.

Review Exam #8

Evaluate each expression, or state that the expression is not a real number.

Use a calculator to approximate each expression. Round to three decimal places. If the expression is not a real
number so that an approximation is not possible say so.

Find each cube root.

Find the indicated root, or state that the expression is not a real number.

Use the product rule for square roots to find each product.

Simplify each expression. If the expression cannot be simplified say so.

Multiply and, if possible, simplify.

Simplify using the quotient rule for square roots.

Simplify each radical expression.

Solve the quadratic equation by the square root property. If possible, simplify radicals or rationalize denominators.

Solve the quadratic equation by first factoring the perfect square trinomial on the left side. Then apply the square
root property. If possible, simplify radicals or rationalize denominators.

Use the Pythagorean Theorem to find the missing length in the right triangle. Express the answer in radical form,
and simplify if possible.

Answer Key

1. 4
2.
3. Not a real number.
4. 5
5. Not a real number.
6. 10.449
7. 2.646
8. -4
9.
10. 1
11. Not a real number.
12. 2

Copyrights © 2005-2024