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Copyright © Swun Math Grade 8 Unit 2 Lesson 9 C TE

Homework

Unit 2 · Lesson 9: Square Roots

Objective: I will solve equations involving squared roots.

(^)
Vocabulary Steps:
Square Numbers (Perfect Square): the number
after multiplying an integer by itself
Square Root: the square root of a number is a
value that, when multiplied by itself, gives the
number
Note: There is an understanding that a 2 sits outside the
radical to show it undoes a square √^2. √ and x^2 are
inverse operations.
Rational Solution: solutions to equations that are
integers or fractions
푦푦^2 = 9 → �푦푦^22 =^2 √ 9 =ퟑퟑ
Irrational Solution: solutions to equations that
cannot be written as a simple fraction

푦푦^2 = 11 → �푦푦^22 =√^211 →푦푦= ±√ 11

1. Isolate the variable.


2. Take the square root of both sides of the
   equation.


3. Identify the perfect square when possible.


4. Identify the 2 possible values for the
   unknown.


5. Identify if the solution is rational or
   irrational.

Name: ___

Date: ___