Question

http://prntscr.com/93atl8

Answer 1

@Jamierox4ev3r

Answer 2

@UsukiDoll

Answer 3

Since we're looking for a difference in the first part of the question, you're going to want to set this up as a subtraction problem at first

Answer 4

you will also want to simplify the radicals

Answer 5

\(\sqrt{605} - \sqrt{500}\)

Answer 6

@Diana.xL you following me so far?
each radical can be simplified

\(\large\sqrt{605} - \sqrt{500}\)
\(\large\sqrt{121*5} - \sqrt{100*5}\)

you see where this is going? we need to split up each radical to simplify them, and we do this by finding square root factors (like 121 and 100)

Answer 7

@Diana.xL welcome back :) do you know what to do from here, or shall I offer a little more guidance?

Answer 8

little more guidance plz xD

Answer 9

Fair enough x'D

so once you're at this step:
\(\large\sqrt{121*5} - \sqrt{100*5}\)

you can split up these radicals:

\(\sqrt{121}\)* \(\sqrt{5}\) - \(\sqrt{100}\)* \(\sqrt{5}\)

Answer 10

now, what do \(\sqrt{121}\) and \(\sqrt{100}\) simplify to? this should be easy :)

Answer 11

√121 = 11
√100 = 10

Answer 12

yes ^_^

Answer 13

so therefore, your expression has simplified to 11\(\sqrt{5}\)- 10\(\sqrt{5}\)

Answer 14

now if you look, the square roots are the same, so you can simply subtract 11-10. what does this make your final radical answer? @Diana.xL

Answer 15

\[\sqrt{5}?\]

Answer 16

Yes! Well done ^_^

Answer 17

so there's your answer for the first part of the question

Answer 18

do you understand how we arrived at that answer?

Answer 19

thnx. im gonna do part b now, when im done can u check and see if ive done it correct?

Answer 20

of course :)

Answer 21

\[\sqrt{5}= 2.2360679\]
2.2360679 = 2.2

Answer 22

correct?

Answer 23

if you are rounding to the nearest tenth, then that is definitely correct :) Now can you explain the meaning?

Answer 24

the difference between the two distances of each route was 2.2?

Answer 25

Yes. but be specific, include units.

you can say that one route was 2.2 miles longer than the other route.
Recall that the unit being used here is miles

Answer 26

it seems like you're all set! Do you have any further questions about this problem?

Answer 27

nope im good. tysm! c: