Rationalizing Radicals and Fractions

Rationalizing Radicals and Fractions

Assessment

Interactive Video

Mathematics

7th - 10th Grade

Easy

CCSS
HSN.RN.A.2

Standards-aligned

Created by

Aiden Montgomery

Used 2+ times

FREE Resource

Standards-aligned

CCSS.HSN.RN.A.2
This video tutorial explains how to rationalize the denominator of a fraction by multiplying both the numerator and denominator by a radical that will eliminate the radical in the denominator. Two examples are provided: one with the fraction 1 over the square root of 14 and another with 6 over the square root of 6. The tutorial demonstrates the process of multiplying by the appropriate radical to achieve a rational denominator and emphasizes the importance of simplifying the resulting fraction.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary goal of rationalizing the denominator?

To convert the fraction into a decimal

To simplify the numerator

To eliminate the radical from the denominator

To make the numerator a perfect square

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the first example, why does the square root of 14 not simplify?

Because 14 is an even number

Because 14 is a prime number

Because 14 has no perfect square factors

Because 14 is a composite number

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What do you multiply the numerator and denominator by to rationalize 1/√14?

14

1/√14

√14

2√7

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After rationalizing 1/√14, what is the resulting expression?

√14/14

1/14

14/√14

1/√14

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in rationalizing 6/√6?

Divide by √6

Divide by 6

Multiply by √6

Multiply by 6

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why does the square root of 6 not simplify?

Because 6 is a prime number

Because 6 has no perfect square factors

Because 6 is an even number

Because 6 is a composite number

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of multiplying the numerator and denominator by √6 in the second example?

6/6

6√6/6

6/√6

√6/6

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