Square root (1)



   1. Concept of root

    In the upper figure, we see the floor of a square room that has 100 tiles. How many tiles will the room have on each side? To solve this problem, we must found a number that when we raised it to the square is 100. The result is 10 because 10 x 10 = 100 , 102 = 100.

    Therefore, the square root of 100 is 10.

    2. Elements of the root

    The number 36 is the square of 6. We can also say that 6 is the square root of 36. The symbol  Ö  is called radical sing.
    In the previous example, 36 is called radicand, 6 is the square root and raíz cuadrada y Ö is the radical sign.

    Exercises:

1. Inn  Ö 4 = 2  the 2 is... 

2. In  Ö 4 = 2  the  Ö is...

3. In   Ö 4 =2 the 4 is...

4. In  Ö 16 = 4 the  Ö is...

5. In   Ö 16 = 4 the 4 is...

6. In   Ö 16 =4 the 16 is...



    3. - Exact square root

    When a natural number is raised to the power 2, we get the perfect squares. 36 is the perfect square of 6, we can also say that 6 is the square root of 36.

    Exercises:

1. The square root of 49 =

2. The square root of 81 =

3. The square root of 64 =

4. The square root of 100 =

5. The square root of 25 =

6. The square root of 36 =

    4. - Whole square root

    If we want to find the square root of 46, we see that it is not a perfect square, since it is greater than 36 (62) and less than 49 (72). The root of 46 will have a whole part (6) and a decimal part.
    The whole square root of a number is the root of the greatest perfect square root contained therein.
    In this case the square of 6 (36) needs 10 to reach to 46. 46 -36 = 10.
    The number 10 is called remainder

    The remainder of the square root of a number is the difference between that number and the square of its whole square root.

    You can see the topic of how to solve problems

    Do these problems:

1. In   Ö 26, the square root is...

2. In   Ö 26, the remainder is...

3. In   Ö 87, the remainder is...

4. In   Ö 87, the square root is...

5. In   Ö 50, the square root is...

6. In   Ö 50, the remainder is...



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Mathematics

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®Arturo Ramo García.-Record of intellectual property of Teruel (Spain) No 141, of 29-IX-1999 Plaza Playa de Aro, 3, 1ş DO 44002-TERUEL







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