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


100

What is the longest side of a right triangle called? 

Hypotenuse 

200

72 =

49

200

Estimate √34 to the nearest whole number

6

200

Is 31.4564778.... rational?

No

200

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

2 minutes

5

200

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

legs
300

√36=

6

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 rational or irrational? why?

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

400

Find the distance between the points. Round your answer to the nearest tenth. 

(1,3), (4,1) 

3.6

400

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

Right triangle (one that contains a 90 degree angle)

500

√144=

12

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 distance between the points. Round your answer to the nearest tenth. 

(-3,1), (4,-3)

8.1

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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