## A community for students. Sign up today!

Here's the question you clicked on:

## Maddiie 3 years ago In a paragraph, describe how to simplify each expression. 16 1/2 Square root 100

• This Question is Closed
1. Harkirat

????????? why don't u use the equation box to write yr question...

2. Maddiie

In a paragraph, describe how to simplify each expression. 16 1/2 $\sqrt{100}$

3. Harkirat

is the first one $16^{1/2}$ ???

4. Maddiie

yes

5. Harkirat

pls note that $x ^{1/2} = \sqrt{x}$

6. Maddiie

why is that

7. Harkirat

okay I will explain thru an example...

8. Maddiie

ok awesome

9. Harkirat

u know that $\sqrt{4}= 2$ also $(4)^{1/2} = (2^{2})^{1/2} = 2^{2*1/2} = 2^{1}=2$

10. Harkirat

so we find that $\sqrt{4} = (4)^{1/2}$ because both give same result i.e. 2

11. Maddiie

$({8}^2)$

12. Maddiie

confused

13. Harkirat

so we can solve the first one as $(16)^{1/2} = (4^{2})^{1/2} = 4^{2*1/2} = 4^{1}=4$

14. Harkirat

what is confusing u???

15. Maddiie

Oh because 4x4=16 right

16. Harkirat

yes

17. Maddiie

So $\sqrt{100}= 10$

18. heromiles

You might want to introduce and include rules of exponents and roots as part of your explanation.

19. Harkirat

yes that is correct

20. Maddiie

ok i understood the steps now

21. Maddiie

ok i understood the steps now

22. Harkirat

see square and root are opposite operations. so when they occur together, they cancel each other out.... we can show the working for root100 as follows : $\sqrt{100}=\sqrt{10^{2}}=10$ the square inside and root outside cancel each other out

23. Harkirat

are u familiar with exponential laws???

24. Maddiie

makes sense

25. Maddiie

not really but i can try to find it in my book

26. Harkirat

yes, u shud have all the laws in front of you and slowly try to learn them by heart....

27. Maddiie

ok thank u

28. Harkirat

u r welcome, just keep in mind... $\sqrt{x}=x ^{1/2}$ $\sqrt[3]{x}=x ^{1/3}$ $\sqrt[4]{x}=x ^{1/4}$ and so on....

#### Ask your own question

Ask a Question
Find more explanations on OpenStudy