Question

Ik the first part but i forgot how to do the answer choices

What is the exact value for the expression the square root of 52. − the square root of 13. + the square root of 117.? Simplify if possible.

4 the square root of 13.
the square root of 13.
2 the square root of 39.
8 the square root of 39.

Answer 1

so you want to re-write each product as (something)*13

Answer 2

52 = __ * 13

fill in the blank

Answer 3

2.17????? Do you do 13/52

Answer 4

other way around

Answer 5

Oh okay hold on

Answer 6

you would divide both sides by 13 to get 52/13 = ?

Answer 7

4

Answer 8

good so sqrt(52) = sqrt(4*13) = 2sqrt(13)

Answer 9

now let's do the same thing with 117

117 = __ * 3

Answer 10

39

Answer 11

oh whoops made a typo

Answer 12

117 = ___ * 13

Answer 13

try that ;;

Answer 14

39

Answer 15

117/13 = ?

Answer 16

Sorry 9 not 39

Answer 17

good so sqrt(117) = sqrt(9*13) = 3(sqrt13)

so now they're all in terms of sqrt(13) we just add/subtract like terms

Answer 18

square root of 52. − the square root of 13. + the square root of 117.
2sqrt(13) - sqrt(13) + 3sqrt(13) = 4(sqrt13) = answer A

Answer 19

Thank you!