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Question 1 of 3
Simplify
(√2+3)(√2−4)
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Apply the Distributive Property.
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= |
(√2+3)(√2−4) |
|
= |
√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.
|
= |
(3√2−√6)(2√2+3√6) |
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= |
3√2×2√2+3√2×3√6−√6×√2−√6×3√6 |
|
= |
6√4+9√12−2√12−3√36 |
Simplify the Radicals |
|
= |
6×2+9×2√3–2×2√3–3×6 |
Multiplying |
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= |
12+18√3−4√3−18 |
Combine like Terms |
|
= |
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 Radicals |
|
= |
√14–5×7−5×2+25√14 |
Multiplying |
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= |
√14–35−10+25√14 |
Combine like Terms |
|
= |
26√14−45 |
