Question

In a paragraph, describe how to simplify each expression.
16 1/2
Square root 100

Answer 1

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

Answer 2

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

Answer 3

is the first one

\[16^{1/2}\] ???

Answer 4

yes

Answer 5

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

Answer 6

why is that

Answer 7

okay I will explain thru an example...

Answer 8

ok awesome

Answer 9

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

Answer 10

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

Answer 11

\[({8}^2)\]

Answer 12

confused

Answer 13

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

Answer 14

what is confusing u???

Answer 15

Oh because 4x4=16 right

Answer 16

yes

Answer 17

So \[\sqrt{100}= 10 \]

Answer 18

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

Answer 19

yes that is correct

Answer 20

ok i understood the steps now

Answer 21

ok i understood the steps now

Answer 22

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

Answer 23

are u familiar with exponential laws???

Answer 24

makes sense

Answer 25

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

Answer 26

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

Answer 27

ok thank u

Answer 28

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....