5A-5B Online Practice PDF
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This document contains practice questions on simplifying square roots, including examples with variables. It covers various techniques and problems related to square root simplification. The questions are designed for secondary school students.
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## Section 5A **Indicate the answer choice that best completes the statement or answers the question.** 1. Simplify: √60 - a. 4/15 - b. 2/15 - c. 2/30 - d. 5/12 2. Simplify: √25x<sup>20</sup>y<sup>14</sup> - a. 5x<sup>10</sup>|y<sup>7</sup>| - b. 12.5x<sup>20</sup>y<sup>14</sup> - c. 5x<sup>20</...
## Section 5A **Indicate the answer choice that best completes the statement or answers the question.** 1. Simplify: √60 - a. 4/15 - b. 2/15 - c. 2/30 - d. 5/12 2. Simplify: √25x<sup>20</sup>y<sup>14</sup> - a. 5x<sup>10</sup>|y<sup>7</sup>| - b. 12.5x<sup>20</sup>y<sup>14</sup> - c. 5x<sup>20</sup>y<sup>14</sup> - d. 5x<sup>10</sup>y<sup>7</sup> 3. Simplify: √144x<sup>12</sup>y<sup>20</sup> - a. 12x<sup>12</sup>y<sup>20</sup> - b. 72x<sup>6</sup>y<sup>10</sup> - c. 12x<sup>6</sup>y<sup>10</sup> - d. 72x<sup>12</sup>y<sup>20</sup> 4. Simplify: √121x<sup>2</sup>y<sup>22</sup> - a. 11xy<sup>11</sup> - b. 11x|y<sup>11</sup>| - c. 11xy<sup>11</sup> - d. 50.5xy<sup>11</sup> 5. Simplify: √81a<sup>36</sup>b<sup>8</sup> - a. 20.25a<sup>36</sup>b<sup>8</sup> - b. 3a<sup>36</sup>b<sup>8</sup> - c. 20.25ab<sup>2</sup> - d. 3ab<sup>2</sup> 6. Simplify: √36x<sup>10</sup>y<sup>6</sup> - a. 6x<sup>5</sup>|y<sup>3</sup>| - b. 6y<sup>3</sup>|x<sup>5</sup>| - c. 6x<sup>5</sup>y<sup>3</sup> - d. 6x<sup>5</sup>y<sup>3</sup> ## Section 5B **Simplify.** 1. √24 - a. 6/2 - b. 2/6 - c. 4/6 - d. 2/12 2. √8 - a. 2/2 - b. 2√2 - c. √3 - d. 2√4 3. √10/5 - a. √5 - b. √2 - c. 10/5 - d. 2/√5 4. √27tu<sup>3</sup> - a. 3u<sup>3</sup>√tu - b. 3/4√3tu - c. 3√3tu - d. 9/2√3tu 5. √56m<sup>2</sup>n<sup>4</sup>p<sup>5</sup> - a. 2|m|n<sup>2</sup>|p|√14p - b. 2mn<sup>2</sup>p<sup>2</sup>√14p - c. 2|m|n<sup>2</sup>p<sup>2</sup>√14p - d. 4mn<sup>2</sup>p<sup>2</sup>√p 6. √9ab/√4ab<sup>4</sup> - a. 3√ab/2b<sup>2</sup>√a - b. 3/2b<sup>2</sup>√a - c. 3/2ab<sup>2</sup> - d. 3/4b<sup>2</sup> **Simplify each expression.** 7. 8√30 - 4√30 - a. 4 - b. 2√30 - c. 4√30 - d. 12√30 8. √27 + √18 + √300 - a. 13√3 - b. 16√5 - c. 3√2 + 13√3 - d. 9√2 + 109/3 9. (√2 + 2√8)(3√5 - √5) - a. 18√3 - 5√10 - b. 6√3 - 4√10 - c. 30√3 - 5√10 - d. 25√3 - √10 10. Simplify: √7 + √3 / √7 + √3 - a. 5√7 + 5√3 - b. 4/5(√7 - √3 - c. 4/√7 - √3 - d. 5/2(√7 - √3)
