Question

Trevor is tiling his bathroom floor, which has an area that is represented as 117r4 square inches. Each tile has an area of square root of the quantity 9 r to the thirteenth power . The total number of tiles used can be represented by the expression below.
one hundred seventeen r to the fourth power, all over the square root of the quantity nine r to the thirteenth power

Simplify the expression for the total number of tiles used. Show your work.

@blurbendy blur is it ok if you do it for me i do not understand nothing that the question is asking

Answer 1

Basically, it wants you to simplify

(117r^4) / sqrt(9r^13)

Answer 2

ok let me do that and you tell me if i got it right ok>

Answer 3

sure

Answer 4

is it 13/sqrtr^9 or s it 13/r^9?

Answer 5

does this one have answer choices?

Answer 6

no it does not it's an essay question

Answer 7

okay, I got

( 39sqrt[r^13] ) / r^9

Answer 8

ok can you show me how?

Answer 9

(117r^4) / sqrt(9r^13)

if that's what we start with, then let's look at the bottom part first.

the square root of 9 is 3, so now we have

(117r^4) / 3sqrt[r^13]

117/3 = 39, so now we have

39r^4 / sqrt[13]

square roots in the denominator are bad, so we'll multiply the top and bottom by the sqrt[r^13]

now we have

r^4sqrt[13] / r^13 (notice that the square root on the bottom went to the top when we multiplied both sides by the sqrt[13]

we can simplify
39r^4sqrt[13] / r^13
to

39sqrt[13] / r^9 (we just subtracted r^4 from r^13 to get r^9 on the bottom

Answer 10

ok now what?

Answer 11

the bottom expression is your answer

Answer 12

so is that all?

Answer 13

39sqrt[13] / r^9 tiles were used

Answer 14

thank you so much

Answer 15

anytime

Answer 16

good night

Answer 17

see you

Answer 18

wait one quick question shouldn't it be 39r^4sqrt^13? instead of 39r^4sqrt13

Answer 19

@blurbendy

Answer 20

?