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Question 1 of 4
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First, find the largest perfect square that divides evenly into 18 (9)
| √18 |
= |
√9×2 |
9 is a perfect square |
|
= |
√9×√2 |
Apply the Multiplication Property |
|
= |
3×√2 |
√9=3 |
|
= |
3√2 |
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Question 2 of 4
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To simplify 2√54, find the largest perfect square that divides evenly into the radicand: 54 (9)
| 2√54 |
= |
2√9×6 |
9 is a perfect square |
|
= |
2×√9×√6 |
Apply the Multiplication Property |
|
= |
2×3×√6 |
√9=3 |
|
= |
6×√6 |
|
= |
6√6 |
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Question 3 of 4
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To simplify 3√128, find the largest perfect square that divides evenly into the radicand: 128 (64)
| 3√128 |
= |
3√64×2 |
64 is a perfect square |
|
= |
3×√64×√2 |
Apply the Multiplication Property |
|
= |
3×8×√2 |
√64=8 |
|
= |
24×√2 |
|
= |
24√2 |
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Question 4 of 4
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To simplify 2√80, find the largest perfect square that divides evenly into the radicand: 80 (16)
| 2√80 |
= |
2√16×5 |
16 is a perfect square |
|
= |
2×√16×√5 |
Apply the Multiplication Property |
|
= |
2×4×√5 |
√16=4 |
|
= |
8×√5 |
|
= |
8√5 |
