Perfect Squares and Square Roots & Ordering Rational Numbers

Perfect Squares and Square Roots

Perfect Squares

• Numbers that result from multiplying an integer by itself

• 1 is a PERFECT SQUARE because 1x1 = 1

• 144 is a PERFECT SQUARE because 12x12 = 144

Square Roots

• Taking the square root means finding what number when multiplied by itself to get what's under the radical (square root sign)

• This is a radical √

• √25 = 5 because 5x5=25

Multiple Choice

What do we call √ ?

• radicand
• radical symbol
• cube root
• index

Multiple Choice

A perfect square is created when a whole number is multiplied by ___

• a different number
• itself
• a two digit number 
• a fraction 

Multiple Choice

What does the term "squared" mean?

• raised to the power of 3

• raised to the power of 4

• raised to the power of 2

Multiple Choice

Which perfect square is being shown?

• 6

• 7

• 36

• 49

Multiple Choice

√ 16 

• 8
• 3
• 4
• 6

Multiple Choice

What is the square root of 25?

• 5
• 12
• 3
• 6

Multiple Choice

What is the square root of 4?

• 9
• 4
• 2
• 10

Multiple Choice

Which would be the next number in the pattern? 
36, 49, 64, 81 __

• 82
• 18
• 64
• 100

Multiple Choice

Which of the following in NOT a perfect square?

• 49

• 81

• 111

• 144

Multiple Choice

Which of the following is NOT a perfect square?

• 1
• 4
• 100
• 8

Multiple Choice

What would be the side length if you used 49 tiles to create a perfect square?

• 7 tiles
• 14 tiles
• 4 tiles wide and 9 tiles long
• 3.5 tiles

Multiple Choice

What is the side length of a square that has an area of 36?

• 9
• 18
• 6
• 1296