Question

Find an irrational number that is between 9.5 and 9.7. Explain why it is irrational. Include the decimal approximation of the irrational number to the nearest hundredth.

Answer 1

@zepdrix

Answer 2

Hmm

Answer 3

Ok this might be a little confusing...
We'll try it though.

Answer 4

If we square our 9.5 and our 9.7,
\(\large\rm 9.5^2=90.25\)
\(\large\rm 9.7^2=94.09\)

We can choose the square root of a number between these two values and it will be between 9.5 and 9.7. How bout we go with 91.
So we know that \(\large\rm \sqrt{91}\) must be between 9.5 and 9.7.

When we punch that value into our calculator we get 9.539392014...

Answer 5

So our irrational number that we came up with is \(\large\rm \sqrt{91}\), that's the exact number.

The decimal approximation, to the nearest hundredth will be \(\large\rm 9.54\).
I rounded the 3 up to a 4 because of the 9 next to it.

Answer 6

Confusing with all the squares and stuff?
What do you think? :d

Answer 7

it's not alicia btw it here sis and no not confusing at all

Answer 8

thanks

Answer 9

:p

Answer 10

alicia say skype her

Answer 11

@zepdrix