Square Roots of Perfect Squares
Simplifying Expressions with Square Roots
Estimating Square Roots
Approximating Square Roots to the Nearest Hundredth
Vocabulary
100

Find the two square roots of the number:

4

+- 4

100

Simplify each expression:

sqrt(25) - 6

-1

100

Each square root is between two consecutive integers. Name the integers and explain your answer.

sqrt(3

1 and 2; 3 is between 1 and 4.

100

Approximate the square root to the nearest hundredth.

sqrt(42

6.46

100

square root

A number that when multiplied by itself gives the square of that number.

200

Find the two square roots of the number:

1

+- 1

200

Simplify each expression:

sqrt(32 +17)

7

200

Each square root is between two consecutive integers. Name the integers and explain your answer.

sqrt(52

7 and 8; 52 is between 49 and 64.

200

Approximate the square root to the nearest hundredth.

sqrt(73)

8.53

200

Every positive number has two square roots; one _____________ and one _____________.

positive , negative

300

Find the two square roots of the number:

64

+-8

300

Simplify each expression:

sqrt(100/25

2
300

Each square root is between two consecutive integers. Name the integers and explain your answer.

sqrt(90

9 and 10; 90 is between 81 and 100.

300

Approximate the square root to the nearest hundredth.

sqrt(156

12.48

300

Perfect Square

A number that has integers as its square root.

400

Find the two square roots of the number:

100

+-10

400

Simplify each expression:

sqrt(73-48

5

400

Each square root is between two consecutive integers. Name the integers and explain your answer.

sqrt(40

6 and 7; 40 is between 36 and 49.

400

Approximate the square root to the nearest hundredth.

sqrt(123

11.09

400

The square root is the ______________ of exponents.

Inverse

500

Find the two square roots of the number:

484

+- 22

500

Simplify each expression:

3 ( sqrt(144) -6)

18

500

Each square root is between two consecutive integers. Name the integers and explain your answer.

sqrt(250

15 and 16; 250 is between 225 and 256.

500

Approximate the square root to the nearest hundredth.

sqrt(84

9.16

500

What is the formula for the area of a square?

A = s2