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10 Cards in this Set
- Front
- Back
Explain why radical 3 and radical 27 really are like radicals. |
Because radical 27 simplifies to 3 radical 3. So they have the same radicand and are like radicals. |
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Can radicals that have different radicans be added/subtracted? |
No (unless simplifying makes them like radicals). |
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What is a radicand? |
The number under the radical symbol. |
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How do you add/subract radicals that have (or are made to have) the same radicand? |
Do the operation with the coefficients but leave the radicand the same. |
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What should I ask myself when trying to simplify a radical? |
1)Is the radicand a perfect square 2) If not, then what is the largest perfect square that multiplies into the radicand. 3) Rewrite radicand as perfect square times # 4) Pull out the square root of the perfect square. |
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What is the distributive property? |
a(b + c)= ab + ac or a(b - c) = ab - ac |
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Consider the term 4 radical 3. What do you call the 4 what do your call the 3? |
4 is the coefficient 3 is the radicand |
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Do your radicals have to be like radicals to multiply them? |
No, like radicals are only required to add/subract radicals. |
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Complete the property: a radical b times c radical d = |
ac radical bd multiply the coefficients multiplied the radicans see if the new radical (bd) can be simplified |
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Why is the following NOT TRUE? RADICAL 9 = RADICAL 3 |
Because radical 9 = 3 (not radical 3) |