Squares

Square Roots - side measure of a square . The number I can square to get the area of a square .

• The square of a number is the number multiplied by itslef .
  

5 x 5 = 25 or 5 square = 25

• The square of a whole number is a perfect square . 2 square = 4

so , 4 is a perfect square .

• The square of a number can be thought of as the area of a square .

4 square = 16
The area is 16 cm square

• The square root of a number can be thought of as the side length of a square .
  

√16 = 4
The side length is 4 cm .

• The square root of a value is a number that when by itself equals the value
  

6 x 6 = 36 , so √36 = 6

• In the prime factorization of a perfect square , there is an even number of each prime factor.

36 = 2 x 2 x 3 x 3 (two factors of 2 , two factors of 3 )


Question :

4. Estimate the square root of each number , to one decimal place . Check with a calculator.

a) 72 b) 103 c)55

- a) 8.5 b) 10.1 c) 7.4