Operation with Rational and Irrational Numbers

Which expression represents an irrational number?

• √16+√1

• √25+√4

• √36+√7

• √49+√9

Tags

CCSS.HSN.RN.B.3

The product of √576 and √684 is

• irrational because both factors are irrational

• rational because both factors are rational

• irrational because one factor is irrational

• rational because one factor is rational

Tags

CCSS.HSN.RN.B.3

Which expression results in a rational number?

• √2. √18

• 5x√5

• √2+√2

• 3√2+2√3

Tags

CCSS.HSN.RN.B.3

Which expression results in a rational number?

• √121-√21

• √25x√50

• √36÷√225

• 3√5+2√5

Tags

CCSS.HSN.RN.B.3

CCSS.HSN.RN.A.2

Which expression(s) result in an irrational number?

• II, only

• III, only

• I, III, IV

• II, III, IV

Tags

CCSS.HSN.RN.B.3

If x=2, y = 3√2, and w = 2√8, which expression results in a rational number?

• x+y

• y-w

• (w)(y)

• y÷x

Tags

CCSS.HSN.RN.B.3

CCSS.HSA.APR.D.7

Which statement is not always true?

• The product of two irrational numbers is irrational.

• The product of two rational numbers is rational.

• The sum of two rational numbers is rational.

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

Tags

CCSS.HSN.RN.B.3

Which statement is not always true?

• The sum of two rational numbers is rational.

• The product of two irrational numbers is rational.

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

• The product of a nonzero rational number and an irrational number is irrational.

Tags

CCSS.HSN.RN.B.3

Is the product of two irrational numbers always irrational? Justify your answer.

Tags

CCSS.HSN.RN.B.3

Is the product of √16 and 4/7 rational or irrational? Explain your reasoning.

Tags

CCSS.HSN.RN.B.3