Question

What is the root? If there is no root, choose none.

Answer 1

\[\sqrt{5a+2} - \sqrt{7a-8 }=0\]

Answer 2

The answer would be 5. As for the way to solve it, I can't find a way to input it on here, so wait for someone else to give you the method. :)

Answer 3

ok thanks do you by chance know how to simplify things like \[\sqrt{75a} + \sqrt{12a} - \sqrt{27a} \over \sqrt{3a}\]

Answer 4

first add sqrt (7a - 8) to both sides
then square both sides

Answer 5

divide the numerator by sqrt 3a

Answer 6

would 7a-8 be 1 or 1a..

Answer 7

neither

Answer 8

then im stuck

Answer 9

sqrt 5a+2 = sqrt 7a-8
now square both sides

Answer 10

this gives
5a = 2 = 7a - 8
now all you have to do is solve for a

Answer 11

* thats 5a + 2

Answer 12

5a + 2 = 7a - 8

Answer 13

you cannot simplify 7a - 8 - these are 2 different terms

Answer 14

ok so im really confussed now

Answer 15

wait ok so since there different then I would have to get 7a to where I could simplify and that would mean I have to get rid of the a right?

Answer 16

subtract 5a for both sides of the equation;
5a + 2 = 7a - 8
-5a -5a

Answer 17

giving
2 = 2a - 8

Answer 18

do you follow that?

Answer 19

yea I understand that that's the same thing I got

Answer 20

ok so what do you do next?

Answer 21

now we need numbers only on the left - so we add 8 to both sides
2 + 8 = 2x - 8 + 8
10 = 2x

Answer 22

sorry - thats x should be a
now we need a on its own on Right

Answer 23

ok so you would divide right?

Answer 24

yes - divide both sides by 2 then you get the value of a

Answer 25

so you would get 5

Answer 26

right

Answer 27

sorry gotta go
hope this has helped

Answer 28

it has thanks!