G8

(Amit KumaranZ9-e) #1
Copyright © Swun Math Grade 8 Unit 2 Lesson 11 P TE

Answer Key


Extension Activity



  • 2 푥푥^3 = 54

  • 2푥푥


3
2 =

54
2


  • 푥푥^3 = 27

  • √푥푥^33 =√^327

  • √^3 푥푥⋅푥푥⋅푥푥=√^33 ⋅ 3 ⋅ 3

  • 푥푥= 3


Homework



  1. 푧푧^2 = 36
    �푧푧^2 =√ 36
    √푧푧⋅푧푧=√^6 ⋅^6
    푧푧= ±6
    The solution is rational.


2. 푥푥^3 = 343


(^3) �푥푥 (^3) = (^3) √ 343
(^3) √푥푥⋅푥푥⋅푥푥=^3 √ 7 ⋅ 7 ⋅ 7
푥푥= 7
The solution is rational.


3. 푑푑^2 = 28


�푑푑^2 =√ 28


√푑푑⋅푑푑=√ 28 ; notice 28 is not a perfect square
푑푑= ±√ 28 or ±2√ 7
The solution is irrational.

4. 푦푦^3 = 729


(^3) �푦푦 (^3) =√ (^3729)
(^3) �푦푦⋅푦푦⋅푦푦=√ 9 ⋅ 9 ⋅ 9
(^3)
푦푦= 9
The solution is rational.


5. 푔푔^2 = 40


�푔푔^2 =√ 40


�푔푔⋅푔푔=√^40 ; notice 40 is not a perfect square^
푔푔= ±√ 40 or ±2√ 10
The solution is irrational.

6. ℎ^2 = 110


�ℎ^2 =√ 110


√ℎ⋅ℎ=√ 110 ; notice 110 is not a perfect square
ℎ= ±√ 110
The solution is irrational.
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