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Question 1 of 4
Simplify
(10√2-√3)(4√2+2√3)(10√2−√3)(4√2+2√3)
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Apply the Distributive Property.
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(10√2-√3)(4√2+2√3)(10√2−√3)(4√2+2√3) |
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10√2×4√2+10√2×2√3-√3×4√2-√3×2√310√2×4√2+10√2×2√3−√3×4√2−√3×2√3 |
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40√4+20√6–4√6-2√940√4+20√6–4√6−2√9 |
Simplify the Radicals |
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== |
40×2+20×√6–4×√6–2×340×2+20×√6–4×√6–2×3 |
Multiplying |
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80+20×√6–4×√6-680+20×√6–4×√6−6 |
Combine like Terms |
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74+16√674+16√6 |
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Question 2 of 4
Simplify
(7-2√3)(6√3+5)(7−2√3)(6√3+5)
Incorrect
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Apply the Distributive Property.
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(7-2√3)(6√3+5)(7−2√3)(6√3+5) |
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7×6√3+7×5-2√3×6√3-2√3×57×6√3+7×5−2√3×6√3−2√3×5 |
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42√3+35-12√9-10√342√3+35−12√9−10√3 |
Simplify the Radicals |
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= |
42√3+35-12×3-10√3 |
Multiplying |
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42√3+35-36-10√3 |
Combine like Terms |
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32√3–1 |
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Question 3 of 4
Incorrect
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Apply the Distributive Property.
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(3√2+√6)(3√2+√6) |
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3√2×3√2+3√2×√6+√6×3√2+√6×√6 |
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= |
9√4+3×2√3+3×2√3+√36 |
Simplify the Radicals |
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= |
9×2+3×2√3+3×2√3+6 |
Multiplying |
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18+6√3+6√3+6 |
Combine like Terms |
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24+12√3 |
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Question 4 of 4
Incorrect
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Apply the Distributive Property.
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(5√3+2√2)(5√3+2√2) |
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5√3×5√3+5√3×2√2+2√2×5√3+2√2×2√2 |
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= |
25×3+10√6+10√6+4×2 |
Multiplying |
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= |
75+10√6+10√6+8 |
Combine like Terms |
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= |
83+20√6 |
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