Square root

a number which produces a specified quantity when multiplied by itself.”7 is a square root of 49″

Example: 4 × 4 = 16, square root of 16 is 4.

Note that (−4) × (−4) = 16 too, so −4 is also a square root of 16.

The symbol is  which always means the positive square root.

Example: √36 = 6 (because 6 x 6 = 36)

√81=9

√25=5

√64=8

√144=12

√9=3

Practice Questions

  1. Evaluate √144 + √196
  2. Simplify √25 x √25
  3. Find the square root of 1000000.
  4. A school theater has 3136 total number of seats, if the number of seats in the row is equal to the number of seats in the columns. Calculate the number total number of seats in a row.
  5. Calculate √5625.
  6. A square flowers garden has an area of 16 square meters. Calculate the perimeter of the garden.
  7. What least number must be added to 570 to make it a perfect square.
  8. Evaluate √0.9 + √2.5.
  9. Find the square root of the first perfect four digit number.
  10. What is √0.0025 ?

Answers

1. √144 + √196

= 12 + 13

= 25

2. √25 x √25

= 5 x 5

= 25

3. √1000000

1000000 has an even number of zero, hence pick each zero from a pair.

= 1000

4. Equal number of rows and columns

Number of seats in a row and column = √ 3136

56 seats

5. √5625

= 75

6. √16 = 4

Perimeter = 4 x 4

= 16 meters

7. 570 + 6 = 576

√576 = 24

8. √0.9 + √2.5

= 0.3 + 0. 5

= 0.8

9. The first perfect four-digit number is 1024

10. √0.0025

= 0. 05