Square root (1), Mathematics of Educational applications for mobiles

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