Rationalizing Denominators and Radicals Challenge

Rationalizing Denominators and Radicals Challenge

Assessment

Interactive Video

Mathematics

8th - 12th Grade

Practice Problem

Hard

CCSS
HSN.RN.A.2, HSN.CN.A.3

Standards-aligned

Created by

Sophia Harris

FREE Resource

Standards-aligned

CCSS.HSN.RN.A.2
,
CCSS.HSN.CN.A.3
This video tutorial covers the properties of radicals, focusing on rationalizing denominators. It explains two methods: 'complete the group' and using conjugates for complex denominators. The tutorial also covers adding and subtracting radicals, emphasizing the need for like terms and simplification. Practical examples are provided for each method, with pauses for viewers to try problems themselves.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the process called when you remove a radical from the denominator?

Rationalizing the denominator

Simplifying the numerator

Factoring the denominator

Completing the square

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When rationalizing the denominator using the 'complete the group' method, what do you multiply by?

The missing factors to complete the group

The cube of the numerator

The reciprocal of the denominator

The square of the denominator

Tags

CCSS.HSN.RN.A.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example of rationalizing the denominator with an index of 3, what is the final simplified form of cube root of 12 over cube root of 27?

Cube root of 12 over 27

Cube root of 3 over 12

Cube root of 27 over 12

Cube root of 12 over 3

Tags

CCSS.HSN.RN.A.2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the conjugate of the expression 2 + root 5?

root 5 + 2

root 5 - 2

2 - root 5

2 + root 5

Tags

CCSS.HSN.CN.A.3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When multiplying by the conjugate, what happens to the middle terms in the denominator?

They double

They cancel out

They become negative

They remain unchanged

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified form of the denominator when rationalizing 9 plus square root of 6?

81 - 6

81 + 6

81

6

Tags

CCSS.HSN.RN.A.2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What must be the same in order to add or subtract radicals?

Only the index

Only the radicand

Neither the index nor the radicand

Both the index and the radicand

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