Square Roots, Irrational Numbers, Perfect Squares, Estimating Square Roots

Square Roots

100

sqrt49

7

200

sqrt36

6

300

sqrt121

11

400

sqrt144

12

500

sqrt225

15

Perfect Squares

100

List the 3 perfect squares for the numbers that are above 4 and below 8.

25, 36, 49

200

List all perfect squares between 1 and 100

1,4,9,16,25,36,49,64,81,100

300

What does it mean to square a number?

To multiply a number times itself.

400

list one of the next two perfect squares after 144

169, 196

500

What does finding the square root of a number mean?

To find what value times itself will result in the number.

Irrational Numbers

100

Is

sqrt3

 rational or irrational.

Irrational

200

Is 3 rational or irrational?

Rational

300

Why are all whole numbers rational?

Yes, because they terminate.

400

Is

sqrt(5+8)

 rational?

NO, the square root of 13 is irrational

500

Is 27 divided by

sqrt9

 rational?

This makes 27/3 which is 9, so it is rational.

Estimating Square Roots

100

What integers is this between?

sqrt13

3 and 4

200

What integers is this between?

sqrt72

8 and 9

300

Estimate the square root of 

sqrt53

7.3 (or any decimal below 5)

400

Describe in words how you can estimate the square root of an imperfect square.

Find the 2 perfect squares it is between for the whole number.  For the decimal choose a number below 5 if it's closer to the low square or above 5 if it's closer to the higher square.

500

Estimate 

sqrt 97

9.8 (or any decimal above 5)

Using Variables

100

If x = 3, what is x²?

9

200

If m = 7, what is m²?

49

300

If n = 2, what is 5ⁿ?

25

400

If x = 4, and y = 2, what is x^y?

16

500

How do write the expression x raised to the 7th power?

x⁷