Question

Find the value of x. Leave your answer in simplest radical form. Picture will be drawn so be patient. Medal will be rewarded if work is shown or you explain how to do it.

Answer 1

@jim_thompson5910 I need help with the work being shown

Answer 2

a^2 + b^2 = c^2 ... pythagorean theorem

x^2 + x^2 = 6^2

2x^2 = 36

x = ???

Answer 3

good

Answer 4

Well wait what's after 2x^2 = 36 in order to get 3*sqrt 2

Answer 5

how did you get 3*sqrt(2)?

Answer 6

Wolramalpha.com

Answer 7

you need to divide both sides by 2

then take the square root of both sides

then simplify

Answer 8

\[x = \frac{ \sqrt{36} }{ \sqrt{2} }\]
Is that right?

Answer 9

keep going

Answer 10

x = 6/ sqrt 2 then what

Answer 11

rationalize the denominator

Answer 12

how do I rationalize it

Answer 13

multiply top and bottom by sqrt(2)

Answer 14

x = 6*sqrt 2

Answer 15

that's what you get in the numerator

Answer 16

what's in the denominator 2

Answer 17

x = \[x =\frac{ 6 \sqrt 2 }{ 2 }\]

Answer 18

yep, then you reduce