Question

MEDAL GIVEN!!!!
Rationalize the denominator of sqrt 5 / 6+sqrt2

Answer 1

multiply times the conjugate.

Answer 2

\[\frac{ \sqrt{5} }{ 6+\sqrt{2} }\]

Answer 3

to rationalize the denominator, you always multiply by the conjugate

Answer 4

What is the conjugate

Answer 5

\[\frac{ \sqrt{5} }{ 6+\sqrt{2} }*\frac{ 6-\sqrt{2}}{ 6-\sqrt{2} }\]

Answer 6

So then we minus

Answer 7

the conjugate is when you take the term you have and change the sign sign in the middle as the simplest explanation I can give you.
here we have\[6+\sqrt{2}\] so the conjugate is\[6-\sqrt{2}\]

Answer 8

if we had \[8-\sqrt{13}\] the conjugate would be \[8+\sqrt{13}\]

Answer 9

Okay so then what do I do

Answer 10

you multiply the top and bottom by the conjugate

Answer 11

use the foil method to get your answer

Answer 12

4.5

Answer 13

are you asked to give an exact answer or just to rationalize and then leave it?

Answer 14

Simplify the answer

Answer 15

A. -2sqrt5 - sqrt30 / 2
B. 6sqrt5-sqrt10/34
C. 6sqrt5-sqrt10/31
D. 5sqrt5 - sqrt12 /23

Answer 16

well lets multiply it out\[\frac{ 6\sqrt{5}-\sqrt{10} }{ 36-6\sqrt{2}+6\sqrt{2}-\sqrt{2}^{2} }\]

Answer 17

we cant simplify the top anymore and the 6sqrt2 on the bottom cancel

Answer 18

Okay would b be the closet answer

Answer 19

sqrt2^2 equal 2 so we have\[\frac{ 6\sqrt{5}-\sqrt{10} }{ 36-2 }\]\[\frac{ 6\sqrt{5}-\sqrt{10} }{ 34 }\]

Answer 20

Thank you!!!!

Answer 21

plugging that into our handy dandy calculator we get a 0.302

Answer 22

you are welcome