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
- 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.