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Question 1 of 3
Simplify
(√2+3)(√2-4)(√2+3)(√2−4)
Incorrect
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Apply the Distributive Property.
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= |
(√2+3)(√2-4) |
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= |
√2×√2-√2×4+3×√2-34 |
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= |
√4–4√2+3√2–12 |
Simplify like terms (same radicand) |
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= |
2–√2–12 |
Simplify like terms (constants) |
|
= |
-√2–10 |
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Question 2 of 3
Simplify
(3√2-√6)(2√2+3√6)
Incorrect
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Apply the Distributive Property.
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= |
(3√2-√6)(2√2+3√6) |
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= |
3√2×2√2+3√2×3√6-√6×√2-√6×3√6 |
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= |
6√4+9√12-2√12-3√36 |
Simplify the Surds |
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= |
6×2+9×2√3–2×2√3–3×6 |
Multiplying |
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= |
12+18√3-4√3-18 |
Combine like Terms |
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= |
14√3-6 |
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Question 3 of 3
Simplify
(√7-5√2)(√2-5√7)
Incorrect
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Apply the Distributive Property.
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= |
(√7-5√2)(√2-5√7) |
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= |
√7×√2-√7×5√7-5√2×√2+5√2×5√7 |
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= |
√14–5√49–5√4+25√14 |
Simplify the Surds |
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= |
√14–5×7-5×2+25√14 |
Multiplying |
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= |
√14–35-10+25√14 |
Combine like Terms |
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= |
26√14-45 |
