## Maddiie 5 years ago In a paragraph, describe how to simplify each expression. 16 1/2 Square root 100

1. anonymous

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

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

3. anonymous

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

yes

5. anonymous

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

why is that

7. anonymous

okay I will explain thru an example...

ok awesome

9. anonymous

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

10. anonymous

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

$({8}^2)$

confused

13. anonymous

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

14. anonymous

what is confusing u???

Oh because 4x4=16 right

16. anonymous

yes

So $\sqrt{100}= 10$

18. anonymous

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

19. anonymous

yes that is correct

ok i understood the steps now

ok i understood the steps now

22. anonymous

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. anonymous

are u familiar with exponential laws???

makes sense

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

26. anonymous

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

ok thank u

28. anonymous

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....