Information
You have already completed the quiz before. Hence you can not start it again.
You must sign in or sign up to start the quiz.
You have to finish following quiz, to start this quiz:
Loading...
-
Question 1 of 4
Simplify
(10√2-√3)(4√2+2√3)(10√2−√3)(4√2+2√3)
Incorrect
Loaded: 0%
Progress: 0%
0:00
Apply the Distributive Property.
|
= |
(10√2-√3)(4√2+2√3) |
|
= |
10√2×4√2+10√2×2√3-√3×4√2-√3×2√3 |
|
= |
40√4+20√6–4√6-2√9 |
Simplify the Surds |
|
= |
40×2+20×√6–4×√6–2×3 |
Multiplying |
|
= |
80+20×√6–4×√6-6 |
Combine like Terms |
|
= |
74+16√6 |
-
Question 2 of 4
Incorrect
Loaded: 0%
Progress: 0%
0:00
Apply the Distributive Property.
|
= |
(7-2√3)(6√3+5) |
|
= |
7×6√3+7×5-2√3×6√3-2√3×5 |
|
= |
42√3+35-12√9-10√3 |
Simplify the Surds |
|
= |
42√3+35-12×3-10√3 |
Multiplying |
|
= |
42√3+35-36-10√3 |
Combine like Terms |
|
= |
32√3–1 |
-
Question 3 of 4
Incorrect
Loaded: 0%
Progress: 0%
0:00
Apply the Distributive Property.
|
= |
(3√2+√6)(3√2+√6) |
|
= |
3√2×3√2+3√2×√6+√6×3√2+√6×√6 |
|
= |
9√4+3×2√3+3×2√3+√36 |
Simplify the Surds |
|
= |
9×2+3×2√3+3×2√3+6 |
Multiplying |
|
= |
18+6√3+6√3+6 |
Combine like Terms |
|
= |
24+12√3 |
-
Question 4 of 4
Incorrect
Loaded: 0%
Progress: 0%
0:00
Apply the Distributive Property.
|
= |
(5√3+2√2)(5√3+2√2) |
|
= |
5√3×5√3+5√3×2√2+2√2×5√3+2√2×2√2 |
|
= |
25×3+10√6+10√6+4×2 |
Multiplying |
|
= |
75+10√6+10√6+8 |
Combine like Terms |
|
= |
83+20√6 |
|
