Algebra Tutorials!
Tuesday 20th of March
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:

# Square Roots

Some quadratic equations can be readily solved using square roots. Before we look at some examples, it will be helpful to review what we have learned about square roots.

â€¢ Recall that every positive number has two square roots.

For example:

The positive square root of 25, written , is +5 since (+5)2 = 25.

The negative square root of 25, written -, is -5 since (-5)2 = 25.

â€¢ A square root is in simplified form when there are:

â€¢ No perfect square factors under a square root symbol.

â€¢ No fractions under a square root symbol.

â€¢ No square roots in the denominator of a fraction.

â€¢ The Multiplication Property of Square Roots states that the square root of a product is the product of the square roots. That is, if a and b are nonnegative real numbers, then

We can use this property to simplify a square root.

 For example, letâ€™s simplify Write 24 as a product. Use the Multiplication Property of Square Roots. Simplify

â€¢ The Division Property of Square Roots states that the square root of a quotient is the quotient of the square roots. That is, if a and b are nonnegative real numbers and b 0, then

 For example, letâ€™s simplify Use the Division Property of Square Roots. Simplify