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Simplifying Radicals and Radical Operations Expressions

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Used 6+ times

Simplifying Radicals and Radical Operations Expressions
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9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What steps were take to simplify the radical expression?

Clear parenthesis

Perform all operations that can be

Cancel all multiplied ones and added zeros

Get rid of non standard forms

Tags

CCSS.HSN.RN.A.2

2.

MULTIPLE SELECT QUESTION

1 min • 1 pt

There are three laws of square roots you can use to help you simplify expressions with square roots Choose the statements below that are FALSE.

9 + 1= 10\sqrt{9}\ +\ \sqrt{1}=\ \sqrt{10}  

3 ⋅ 5=15\sqrt{3}\ \cdot\ \sqrt{5}=\sqrt{15}  

3 + 5=8\sqrt{3}\ +\ \sqrt{5}=\sqrt{8}  

35=35\sqrt{\frac{3}{5}}=\frac{\sqrt{3}}{\sqrt{5}}  

35=35\sqrt{\frac{3}{5}}=\frac{\sqrt{3}}{5}  

Tags

CCSS.HSN.RN.A.2

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The following value is unsimplified because it has a factor a a perfect square inside the radical. See how the laws of radicals are used to simplify it. Then select the simplified answer.

252\sqrt{5}  

454\sqrt{5}  

2 + 52\ +\ \sqrt{5}  

4 + 54\ +\ \sqrt{5}  

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

In the last question, it was easy to see the factor of 4 which is a perfect square. Sometimes it is a little more difficult to see the perfect square factors. It might help to prime factor instead. Finish simplifying the expression below. \sqrt{72}\ =\ \sqrt{8\ \cdot\ 9} =\ \sqrt{2\ \cdot\ 2\ \cdot\ 2\ \cdot\ 3\ \cdot\ 3} =\sqrt{2}\ \cdot\ \sqrt{2}\ \cdot\ \sqrt{2}\ \cdot\sqrt{3}\ \cdot\sqrt{3}

5 + 35\ +\ \sqrt{3}  

6 + 36\ +\ \sqrt{3}  

535\sqrt{3}  

636\sqrt{3}  

Tags

CCSS.HSN.RN.A.2

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Finish simplifying the following expression with radicals

1525\frac{\sqrt{15}}{\sqrt{25}}  

1525\frac{\sqrt{15}}{25}  

155\frac{\sqrt{15}}{5}  

355\frac{3\sqrt{5}}{5}  

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Finish simplifying the following expression with radicals

9 + 359\ +\ \sqrt{35}  

3 + 353\ +\ \sqrt{35}  

9359\sqrt{35}  

3353\sqrt{35}  

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write in simplest radical form:
288\sqrt{288}  

2722\sqrt{72}  

2122\sqrt{12}  

2424  

12212\sqrt{2}  

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