Word problems
Adding and subtracting rational and irrational
Simplifying Radicals
100

Which of these numbers is irrational?

A) -0.125

B)-50

C)𝜋

D) 7/10

C) 𝜋

100

3√6 - 2√6?

√6

100

√275 in simplified radical form

 

 

5√11 

200

Which number can be multiplied to a rational number to explain that the product of a rational number and an irrational number is irrational?

A) 2

B) -2 1/8

C)√7

D)3√8
 

C)√7

200

2√5+2√5?

4√5

200

3√135 simplify

3 3√5  

300

If the length of a rectangle is given by the expression 2√153 and the width is given by 4√68, which radical expression represents the perimeter of the rectangle?

A) 6√34
B)14√17
C)28√17
D)32√17


   

C)28√17
 

300

√15-6√60


-11√15

300

(√ 7-√ 5)(√ 7+√ 5)

A)2

B)2√ 5

C)2√ 7-2√ 5

D)2√ 7

A)2

400

If x=3/4 and y=8, consider the sum of x and y. Which statement describes the sum of x and y?

A) The sum of x and y is a rational number

B) The sum of x and y is an irrational number

C) The sum of x and y is not a rational number

D) The sum of x and y is neither rational nor irrational

A) The sum of x and y is a rational number

400

2√8+4√96-√24


4√2+14√6

400

-2√196k8   simplify

-28k4

500

Which radical expression represents the perimeter of a triangle if the side length of the triangle are given by the expressions 13√ 80, 3√ 125, and √ 500?

A)16√ 5

B)26√ 5

C)39√ 5

D)77√ 5

D) 77√ 5

500

-3√6 - 5√6 + 4√8 + 4√2



-8√6 + 12√2

500

(√8x4y2)(√ 12x4y2)

4x4y2√6 

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