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!

 Depdendent Variable

 Number of equations to solve: 23456789
 Equ. #1:
 Equ. #2:

 Equ. #3:

 Equ. #4:

 Equ. #5:

 Equ. #6:

 Equ. #7:

 Equ. #8:

 Equ. #9:

 Solve for:

 Dependent Variable

 Number of inequalities to solve: 23456789
 Ineq. #1:
 Ineq. #2:

 Ineq. #3:

 Ineq. #4:

 Ineq. #5:

 Ineq. #6:

 Ineq. #7:

 Ineq. #8:

 Ineq. #9:

 Solve for:

 Please use this form if you would like to have this math solver on your website, free of charge. Name: Email: Your Website: Msg:

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.   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.  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.  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  