Quiz about Operations With Irrational Numbers

Question 1

The product of the express $$\frac{1}{2\ }\left(\sqrt[]{3} ight)$$ is a ________________ ?

Accepted Answer

Irrational Number

Answer

rational number

Question 2

If $$x\ +\ 4\ =\sqrt{7}$$ , then x must be a

Accepted Answer

Irrational Number

Answer

Rational Number

Question 3

Is the result rational or irrational? Explain.

Accepted Answer

Irrational; The sum of a rational and an irrational is always irrational.

Answer

Rational; The sum of two rationals is always rational.

Answer

Rational; The product of two rationals is always rational.

Answer

Irrational; The product of a nonzero rational and an irrational is always irrational.

Question 4

Is the result rational or irrational? Explain.

Accepted Answer

Irrational; The product of a nonzero rational and an irrational is always irrational.

Answer

Rational; The sum of two rationals is always rational.

Answer

Irrational; The sum of a rational and an irrational is always irrational.

Answer

Rational; The product of two rationals is always rational.

Question 5

Is the result rational or irrational? Explain.

Accepted Answer

Sometimes rational, sometimes irrational; The product of two irrationals is sometimes rational, sometimes irrational

Answer

Rational; The sum of two rationals is always rational.

Answer

Sometimes rational, sometimes irrational; The sum of two irrationals is sometimes rational, sometimes irrational.

Answer

Rational; The product of two rationals is always rational.

Question 6

Is the result rational or irrational? Explain.

Accepted Answer

Irrational; The sum of a rational and an irrational is always irrational.

Answer

Rational; The sum of two rationals is always rational.

Answer

Rational; The product of two rationals is always rational.

Answer

Irrational; The product of a nonzero rational and an irrational is always irrational.

Question 7

Is the result rational or irrational? Explain.

Accepted Answer

Irrational; The product of a nonzero rational and an irrational is always irrational.

Answer

Rational; The sum of two rationals is always rational.

Answer

Irrational; The sum of a rational and an irrational is always irrational.

Answer

Rational; The product of two rationals is always rational.

Question 8

The sum of a rational number and an irrational number is irrational.

Accepted Answer

Always true

Answer

Sometimes true

Answer

Never true

Question 9

The sum of an irrational number and an irrational number is irrational.

Accepted Answer

Sometimes true

Answer

Always true

Answer

Never true

Question 10

$$Why\ is\ \sqrt{2}\ irrational?$$

Accepted Answer

The decimal does not end and does not repeat.

Answer

The decimal ends.

Answer

The decimal repeats.

Answer

The decimal goes on forever.

Question 11

Question 11.

Accepted Answer

2)

Answer

1)

Answer

3)

Answer

4)

Question 12

Question 12.

Accepted Answer

3)

Answer

1)

Answer

2)

Answer

4)

Question 13

Question 13.

Accepted Answer

1)

Answer

2)

Answer

3)

Answer

4)

Question 14

If a and b represent a non-zero rational numbe rand c represents an irrational number, then a(c) is a(n)_____________

Accepted Answer

Irrational number

Answer

Rational Number

Operations With Irrational Numbers

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