Rational And Irratonal Square Roots
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The square root of 64 is irrational.
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True
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False
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Explore the nature of square roots through this quiz, distinguishing between rational and irrational numbers. Assess your understanding of square roots for various numbers, enhancing your mathematical reasoning and skills.
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- 2.
The square root of 34.6 is rational.
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True
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False
Correct Answer
A. FalseExplanation
The square root of 34.6 is not rational because it cannot be expressed as a fraction of two integers. The square root of 34.6 is an irrational number, meaning it goes on infinitely without repeating and cannot be expressed as a simple fraction.Rate this question:
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- 3.
The square root of 36 is rational.
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True
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False
Correct Answer
A. TrueExplanation
The square root of 36 is rational because it equals 6, which is a whole number and can be expressed as a ratio of two integers. In this case, 6 can be written as 6/1, making it a rational number.Rate this question:
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- 4.
The square root of 81 is rational.
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True
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False
Correct Answer
A. TrueExplanation
The square root of 81 is rational because 81 is a perfect square. The square root of a perfect square is always a whole number, and whole numbers are considered rational numbers. In this case, the square root of 81 is 9, which is a whole number and therefore rational.Rate this question:
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- 5.
The square root of 82 is rational.
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True
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False
Correct Answer
A. FalseExplanation
The square root of 82 is not rational because it cannot be expressed as a fraction of two integers. The square root of 82 is an irrational number, which means it cannot be written as a terminating or repeating decimal. Therefore, the correct answer is False.Rate this question:
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- 6.
The square root of 72.6 is irrational.
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True
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False
Correct Answer
A. TrueExplanation
The square root of 72.6 is irrational because it cannot be expressed as a fraction or a terminating or repeating decimal. The decimal representation of the square root of 72.6 goes on indefinitely without repeating, indicating that it is an irrational number.Rate this question:
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- 7.
The square root of 25 is rational.
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True
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False
Correct Answer
A. TrueExplanation
The square root of 25 is rational because a rational number is any number that can be expressed as a fraction of two integers. In this case, the square root of 25 is 5, which can be expressed as the fraction 5/1. Therefore, it is rational.Rate this question:
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- 8.
The square root of 50 is irrational.
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True
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False
Correct Answer
A. TrueExplanation
The square root of 50 is irrational because it cannot be expressed as a fraction or a terminating or repeating decimal. It is a non-repeating, non-terminating decimal. The square root of 50 can be simplified as the square root of 25 times the square root of 2, which is 5 times the square root of 2. Since the square root of 2 is irrational, the square root of 50 is also irrational.Rate this question:
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- 9.
The square root of 100 is irrational.
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True
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False
Correct Answer
A. TrueExplanation
The square root of 100 is irrational because it cannot be expressed as a fraction or a terminating or repeating decimal. The square root of 100 is 10, which is a rational number, but it is also -10, which is also a rational number. Therefore, the square root of 100 has two rational solutions, making it irrational.Rate this question:
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- 10.
The square root of 49 is irrational.
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True
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False
Correct Answer
A. FalseExplanation
The square root of 49 is not irrational because it is equal to 7, which is a rational number.Rate this question:
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Current Version
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Mar 21, 2023Quiz Edited by
ProProfs Editorial Team -
Oct 04, 2013Quiz Created by
Carlosvaras
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