how do u simplify and combine like radicals?

Question

how do u simplify and combine like radicals?

Answer 1

it depends, but here are some examples:

sqrt(2)sqrt(3) = sqrt(2(3)) = sqrt(6)
sqrt(4)/sqrt(16) = sqrt(4/16) = sqrt (`1/4) = 1/2
(sqrt(5))^2 = 5 .

Answer 2

ok the 1st step is to place the sqrt's into least confusing form, by using putting off suited squares. to try this, you dived the quantity decrease than the sqrt sign by using suited squares, then you definately take that sq. out. so sqrt32, 32 is divisible by using sixteen (4^2) which skill 4*sqrt2 (32/sixteen=2) equals sqrt 32. so after simplifying, your sqrt's are: 4*sqrt2 7*sqrt2 6*sqrt2 now, all of those sqrt's have a uncomplicated factor, sqrt2. so which you would be able to factor that out so your situation will become: sqrt2*(4+7+6) = sqrt2*(17) =17sqrt2, the in simple terms suitable answer

Answer 3

if the number under the radical is the same you can add them
e.g. 2 * sqrt(5) + 5 * sqrt(5) = 7 * sqrt(5)
if the number under the radical has a factor that is a square number you can take that out.
e.g. sqrt(24), 4 is a factor of 24 and 4 is a perfect square
sqrt(24) = sqrt (4 * 6) = sqrt(4) * sqrt(6) = 2 * sqrt(6)

Answer 4

think of the like radical as a variable.

For example 7*radical 5 + 2* radical 5 = 9 * radical 5

let x = radical 5. 7x + 2x = 9x

so the like radical is a variable just like x