Respuesta :

There are three options which are the square roots of 100, and those are C. -10, D. 10, and F. |10|
C: (-10)^2 = -10 * -10 = 100 (- * - = +)
D: 10 * 10 = 100
F: |10| = 10, and 10 * 10 = 100 (these brackets make a negative number positive, and a positive number stays positive)

Answer:

Option C,D,F- The square root of 100 is 10,-10,|10|.

Step-by-step explanation:

To find : What are the square roots of 100?

Solution :

Now, we take square of each option to find the square root of 100.

A. 5

Square of 5

[tex](5^2)=25[/tex]

No

B. 10.5

Square of 10.5

[tex](10.5^2)=110.25[/tex]

No

C. -10

Square of -10

[tex](-10^2)=100[/tex]

Yes

D. 10

Square of 10

[tex](10^2)=100[/tex]

Yes

E. -5

Square of -5

[tex](-5^2)=25[/tex]

No

F. |10|

Square of |10|

[tex](|10|^2)=100[/tex]

Yes

Therefore, The square root of 100 is 10,-10,|10|.

So, Option C,D,F are correct.