Rational and Irrational Review

Which of the following is Rational?

• √52

• √18

• √64

• √15

The sum of two irrational numbers will ________________be irrational.

• Always

• Sometimes

• Never

Which of the following is Irrational?

• 1.83838383...

• 5/2

• √16

• √8

Which result will be Rational?

• 3.16 + π

• 2.6̅3 − √5

• √8 ⋅ √2

• √5 ⋅ √4

The product of two Irrational numbers is _________________ Rational.

• Always

• Sometimes

• Never

The product of two Rational numbers is ________________ Rational.

• Always

• Sometimes

• Never

Which result will be irrational?

• √4 ⋅ √49

• √2 ⋅ √10

• √2⋅ √ 8

• √16 ⋅ √25

Which number is Rational?

• 3 ∕ π

• √15 ∕ 6

• 5.249854116....

• 1.4545454545....

Which statement is Always true?

• Any irrational number added to any rational number is equal to a rational number.

• Any irrational number added to any irrational number is equal to a rational number.

• Any irrational number multiplied by any non-zero rational number is equal to a rational number.

• Any irrational number multiplied by any non-zero rational number is equal to an irrational number.

A rectangle has side lengths of 3 inches and √5 inches. Which statement must be true about the area of the rectangle?

• It is a rational number because the product of the side lengths is the rational number 15.

• It is an irrational number because the product of the side lengths is 3√5 an irrational number.

• It is a rational number because the product of √5 and √5 results in 5, a rational number.

• It is an irrational number because the product of the side lengths is √15 an irrational number.