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.

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...

Name:

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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

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