AnswersCA-Common Core Math II AOperations on Rational and Irrational Numbers

Operations on Rational and Irrational Numbers Answers

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Option B
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Which number is not a rational number?

A
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Option A
B
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Option B
C
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D
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Option D
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Which number is irrational?

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Option A
B
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Option B
C
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Option C
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Option D
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The Pythagorean theorem states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse by the formula a2 + b2 = c2.If a is a rational number and b is a rational number, why could c be an irrational number?

A
The square of rational numbers is irrational, and sum of two irrational numbers is irrational.
B
The product of two rational numbers is rational, and the sum of two rational numbers is irrational.
C
The left side of the equation will result in a rational number, which is a perfect square.
D
The left side of the equation will result in a rational number, which could be a non-perfect square.
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is

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rational because it is a terminating decimal.
B
irrational because it is a repeating decimal.
C
irrational because it is a non-terminating and non-repeating decimal.
D
rational because it is a non-terminating and non-repeating decimal.

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