Attention Math Experts!!?

Question

Can someone explain radicals please?

Can someone please explain radicals to me please, in teenage english!

Answer 1

When working with the simplification of radicals you must remember some basic information about perfect square numbers.

You need to remember:

Perfect Squares
4 = 2 x 2
9 = 3 x 3
16 = 4 x 4
25 = 5 x 5
36 = 6 x 6
49 = 7 x 7
64 = 8 x 8
81 = 9 x 9
100 = 10 x 10

Radicals (square roots)
= 2
= 3
= 4
= 5
= 6
= 7
= 8
= 9
= 10



While there are certainly many more perfect squares, the ones appearing in the charts above are the ones most commonly used.



To simplify means to find another expression with the same value. It does not mean to find a decimal approximation.




To simplify (or reduce) a radical:

1. find the largest perfect square which will divide evenly into the number under your radical sign. This means that when you divide, you get no remainders, no decimals, no fractions.

Reduce: the largest perfect square that divides evenly into 48 is 16.
If the number under your radical cannot be divided evenly by any of the perfect squares, your radical is already in simplest form and cannot be reduced further.

write the number appearing under your radical as the product (multiplication) of the perfect square and your answer from dividing.




3. give each number in the product its own radical sign.




4. reduce the "perfect" radical which you have now created.



5. you now have your answer.

Answer 2

Part 1

Example 1 sqrt(4) = 2 Why ?


Definition of square root

a^2 = b (*)

How many times 2 give 4 => answer 2 times beacause 2 x2 =4

so a= 2 in (*) => 2 ^2 = 4

hence the value a = 2 is the answer of square root of 4



Example 2 sqrt(9) = ?

By definition of square root we have a^2 = b
a^2 =9 (1)

what value give (1) true ?

Answer '' a = 3 '' => 3 ^2 = 9 => 9 = 9

So, we have as final answer => sqrt(9) = 3


Part 2

I give you the answers to the end of this 10 exercices drill.

1) Sqrt(16) = ?

2) Sqrt(81) = ?

3) Sqrt(36) = ?

4) Sqrt(100) = ?

5) Sqrt(64) = ?

6) Sqrt(169) = ?

7) Sqrt(49) = ?

8) Sqrt(4) = ?

9) Sqrt(144) = ?

10) Sqrt( 25) = ?










Answers: 1) 4 because 4 x 4 = 16

2) 9 because 9 x 9 = 81

3) 6 because 6 x 6 = 36

4)10 because 10 x 10 = 100

5) 8 because 8 x 8 = 64

6) 13 because 13 x 13 = 169

7) 7 because 7 x 7 = 49

8) 2 because 2 x 2 = 4

9) 12 because 12 x 12 = 144

10) 5 because 5 x 5 = 25

Answer 3

Sure, it's democrats in liberal states.