Algebra 2: Concepts
5.6 Solve Quadratic Equations by Finding Square Roots
Use a calculator to evaluate the following:
• √(3) ‧ √(2)
• √(6)
• √(3) ÷ (2)
• √(3/2)
Use a calculator to evaluate the following:
√(3) + √(2)
√(5)
√(3) - √(2)
√(1)
Properties of Square Roots
Properties of Square Roots (a, b > 0)
Example
Algebra 2: Concepts
Simplifying Square Root
The properties of square roots allow us to simplify radical expressions.
A radical expression is in simplest form when:
• The radicand has no non­trivial perfect­square factor
• There’s no radical in the denominator
Rationalize the denominator
Algebra 2: Concepts
Solving Quadratics
If a quadratic equation has no linear term, you can use square roots to solve it.
Solve 2x2 – 15 = 35 for x
Algebra 2: Concepts
Dropping Stuff
3 seconds to hit.
Once upon a time there was a bike trip...
How long would it take a pebble to hit the water from a bridge twice as high?
Use the fallen object model to find the time it takes for an object to hit the ground.
Algebra 2: Concepts
Homework
Algebra 2: Concepts
Refer to "Dropping Stuff" earlier in this packet.