Algebra Concepts & Connections

Consider the expression 34 + √7. Is the result rational or irrational? Explain.

• Rational; The sum of two rational numbers is always rational.

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

• Rational; The product of two rational numbers is always rational.

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

Tags

CCSS.HSN.RN.B.3

Which of the following addition problems yields a sum that is a rational number?

• π + 4л

• 1/5 + 4

• √3 + 4

• √7 + 2√7

Tags

CCSS.7.NS.A.1D

A radical expression is shown. √98x6y What is an equivalent radical expression?

• 49x³y

• 2y√7x³

• 7x³√2y

• 14x³y

Simplify the radical expression: √108 + √75

• 11√6

• -1√6

• 11√3

• -1√3

If "a" is a rational number and "b" is a rational number, then the product "ab" must be...

• Rational

• Imaginary

• An integer

• Irrational

Tags

CCSS.HSN.RN.B.3

The measures of the lengths of a rectangle are shown below. √36 ft w = √4 ft and 1 = √ Which of the following statements is true about the area of the rectangle?

• Since √4 is a rational number and √36 is an irrational number, the area of the rectangle is a rational number.

• Since √4 is a rational number and √√36 is a rational number, the area of the rectangle is a rational number.

• Since √4 is an irrational number and √36 is an irrational number, the area of the rectangle is an irrational number.

• Since √4 is a rational number and √36 is an rational number, the area of the rectangle is an irrational number.

Tags

CCSS.HSN.RN.B.3

Find the perimeter and area of the figure below. √12+√√6

Tags

CCSS.3.MD.D.8

Which value is an irrational number?

• 4+√7

• √2√8

• √3√12

• √3-√3

Let a be a rational number and b be an irrational number. Is ab rational, irrational, or neither? Why?

Tags

CCSS.HSN.RN.B.3

Which of the following statements are correct? Choose ALL correct statements.

• Every irrational number is a non-repeating, non-terminating decimal.

• Every irrational number can be written as a fraction.

• Every whole number is a rational number.

• Every rational number is an integer.