Applications of Radicals Part 2

Applications of Radicals Part 2

Solving Radical Equation and its Applications

Review: Solving Linear Equations

(items are from Mental Math and Math Exercise found in Learning Module 29)

Fill in the Blanks

Solve the equation.

 $\sqrt{x}=5.$  

Fill in the Blanks

Solve the equation.

 $\sqrt{-3m}=6.$  

Fill in the Blanks

Solve the equation.

 $\sqrt{2y}=8.$  

Fill in the Blanks

Solve the equation.

 $\sqrt{x}-1=\frac{2}{3}.$  (If your answer is a fraction use "/" as the fraction bar, don't put space in between.)

Multiple Choice

Solve the problem.

The legs of a right triangle are congruent and the hypotenuse is  $5\sqrt{2}$   units long. Find the length of each leg.

• 25 units
  

• 5 units
  

•  $25\sqrt{2}$  units

•  $5\ and\ -5$  units

Applications of Radicals Part 2

Solving Radical Equation and its Applications

Example 4

Radical Equation with an Expression

Example 5

An extraneous solution is a solution derived from an equation that is not a solution of the original equation. Therefore, you must check all solutions in the original equation when you solve radical equations.

Checking

In solving radical equations, remember to always CHECK your answer. You may have solved it correctly, but you will only determine whether your answer is a solution when checked

Activity 2:

Include Me Not

Instructions: Solve the equation. Write NO SOLUTION if the value is an extraneous root.

Fill in the Blanks

 $\left(1\right)\ \sqrt{𝑥−3}+6=5$  

Fill in the Blanks

 $\left(2\right)\ \sqrt{𝑥}+1=5$  

Fill in the Blanks

 $\left(3\right)\ \sqrt{2y}=-8$  

Fill in the Blanks

 $\left(4\right)\ \sqrt{x-1}+7=2$  

Fill in the Blanks

 $\left(5\right)\ \sqrt{7x+18}=9$  

Example 6

Factoring

Let's Practice!

Radical Equations that Involves Factoring (item is from Math exercise)

Fill in the Blanks

1. Find the solution and check.

 $\sqrt{3x+1}+x=3$  

More formative assessments next meeting!

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