Oh man.... I don't understand how to simplify though... Can u please help me with These questions :

2 * square root 18
5* square root 48
3* square root 54

To change an entire radical to a mixed radical, look for a factor of the number which is a PERFECT SQUARE.

e.g.

2√18
= 2*√9√2
= 2*3*√2
= 6√2

If there is no perfect square as a factor, then the radical cannot be changed to a mixed
Make yourself a short list of perfect squares
4,9,16,25,36,49,64,81,100, ......

5√48
= 5√16√3
= 5*4√3
= 20√3

you do the last one the same way.

btw, you can always check your result by using your calculator .

Ok thank u!!!!

Sure! To simplify expressions involving square roots, we need to use the properties of square roots and simplify the numbers under the square root symbol if possible.

Let's take the expressions one by one:

1. 2 * √18:
First, we need to find the largest perfect square that divides evenly into 18. In this case, the largest perfect square is 9 (since 9 * 2 = 18).
Next, we can simplify the expression as follows:
2 * √(9 * 2) = 2 * √9 * √2 = 2 * 3 * √2 = 6√2

So, 2 * √18 simplifies to 6√2.

2. 5 * √48:
Similar to the previous example, we need to find the largest perfect square that divides evenly into 48. In this case, the largest perfect square is 16 (since 16 * 3 = 48).
Now, we can simplify the expression:
5 * √(16 * 3) = 5 * √16 * √3 = 5 * 4 * √3 = 20√3

Therefore, 5 * √48 simplifies to 20√3.

3. 3 * √54:
Again, we need to find the largest perfect square that divides evenly into 54. In this case, the largest perfect square is 9 (since 9 * 6 = 54).
Let's simplify the expression:
3 * √(9 * 6) = 3 * √9 * √6 = 3 * 3 * √6 = 9√6

Hence, 3 * √54 simplifies to 9√6.

Remember, when simplifying expressions involving square roots, we try to break down the number under the root symbol into its largest perfect square factors and then simplify accordingly.