Simplifying Square Roots and Squared #'s
Approximating Square Roots
Rational/Irrational Numbers
Pythagorean Theorem
Vocabulary
100

√9 =

3

100

Estimate √10 to the nearest whole number

3

100

Do irrational numbers terminate?


No

100

What is the formula for the Pythagorean Theorem? 

a2 + b2 = c2

Bonus +500

100

What is the longest side of a right triangle called? 

Hypotenuse 

Bonus 200

200

72 =

49

200

Estimate √34 to the nearest whole number

6

Bonus 200

200

Is 31.4564778.... rational?

No

200

When one leg=3 and the other leg=4 then the hypotenuse=?


5

200

In the Pythagorean Theorem, letters "a" and "b" are used to represent which part of a right triangle?

legs
300

√81=

9
300

√5 is between what two numbers? 

2 and 3 

300

Is -365 rational or irrational? Why?

Rational because it is an integer (whole number that's negative)

300

When one leg=5 and the other leg=6 then the hypotenuse=? (Round answer to the nearest tenth)

7.8

300

The word that means to multiply a number by itself?

“Square”

400

9=

81

400

√45 is between what two numbers?

6 and 7 

400

Is 11/1 rational or irrational? why?

Rational because it is a whole number and can be written as a fraction.

400

Find the missing side length of the right triangle

a: 12

b: 9 

c: ?

15

400

The only type of triangle for which the Pythagorean Theorem is true.

Right triangle (one that contains a 90 degree angle)

500

√169=

13

500

√134 is between what two numbers?

11 and 12

500

The definition of irrational numbers


Irrational: non-repeating decimals that do not terminate

500

Find the missing side length.

a : 12

b : ?

c : 13

5

500

What information do you need to know about a right triangle in order use the Pythagorean Theorem? 

At least two side lengths.

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