Rationalizing Denominators: How to Remove Roots from the Bottom of Fractions

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Mathematics
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11th Grade - University
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Hard
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main goal of rationalizing a denominator?
To make the numerator a whole number
To convert the fraction into a decimal
To remove roots from the denominator
To simplify the fraction to its lowest terms
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why was rationalizing denominators important before calculators?
It was a method to check for errors
It made manual calculations easier
It helped in converting fractions to decimals
It was required by mathematical laws
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When rationalizing a denominator with a single square root, what should you multiply by?
The reciprocal of the fraction
The square root itself
The square of the root
The numerator of the fraction
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of multiplying √2 by itself?
√2
1
√4
2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the conjugate of 3 + √2?
3 + √2
3 - √2
√2 - 3
2√3
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the terms involving roots when multiplying by the conjugate?
They double
They cancel out
They become negative
They remain unchanged
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the simplified form of 5/(3 + √2) after rationalizing the denominator?
5√2/3
(5√2 - 15)/7
(15 - 5√2)/7
5/(3 - √2)
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