Question

how do you simplify sqaure roots (radicals)?

Answer 1

what kind of square roots are you specifically talking about? is it surds or what?

Answer 2

i dont even know what that is, its like a regular one, you have to find a perfect square first to find it.

Answer 3

can you pls give an example

Answer 4

(radical sign)169, i know the answer is 13 but i have to simplfiy the square root

Answer 5

doesn't the square root have this thing in it

Answer 6

I think we should do this on chat, its kinda hard this way...

Answer 7

cheergirl, what thing? lol

Answer 8

\[\sqrt{169}\] thats what it looks like

Answer 9

the answer is 13

Answer 10

yes, i know but i have to simplifiy it

Answer 11

I really think 13 cannot be simplified..

Answer 12

the square root had to be simplified

Answer 13

This is what my book says: Simplifiy each square root. \[\sqrt{169}\]

Answer 14

simplifying just makes sense when you have expression with variables, e.g sqrt( cos^2(x)+sin^2(x)+1) , otherwise you jusr try to evaluate the square root of the numer, like in thes case, if the answer is not that easy, you could try thongs like this: sqrt(20) = sqrt(5*4) = 2*sqrt(5)

Answer 15

here lets try this one, i guess that one is hard.

Answer 16

Simplifiy each square root: \[\sqrt{121}\]

Answer 17

11

Answer 18

how did you do that pentop?

Answer 19

what i mean is that simplifying means dealing with variables not with numbers, however, \[\sqrt{121}=11\]

Answer 20

well, 11e2=121

Answer 21

sorry, I meant 11squared =121..

Answer 22

yeah there are some roots you ought to memorize 'cause they are too common

Answer 23

i know that it is 11 but i have to simplifiy it, im so confused. i know how to solve them, i cant simplifiy with perfect squares though

Answer 24

simplifying the square root simply means doing the operation of taking the square or making sure that there are no perfect squares under the radical sign. so with your problem, 13 is the simplification of root 169.

Answer 25

exactly...

Answer 26

but how can i show the work for that?

Answer 27

nevermind im not gonna do my homework lol

Answer 28

The only way I can think of to show it is to factor what is under the radical into 11^2 and then the square root of something squared is just that, in this case 11

Answer 29

\[\sqrt{121}\] = \[\sqrt{11 x 11}\] = 11