Question

NEED HELP ASAP!

simplify the radical expression State any restrictions (n^4 -11n^2 +30) / (n^4 -7n^2 +10)

Please show steps!

Answer 1

-Factor the expressions


-reduce

-then simplify the product
(n-squareof 6) x (n+sqaureof 6) / (n-sqaureof2) x (n+squareof 2)

and your answer will be
n^2-6 / n^2-2

Answer 2

screenshot shows the answer but: n^2-6/n^2-2

Explanation:

n^4-11n^2+30/n^4-7n^2+10
simplify the numerator
rewrite n^4 as (n^2)^2
and let u substititue for all occurences of n^2
u^2-11y+30/n^4-7n^2+10
factor u^2 - 11u+30 using the AC method.
(u-6)(u-5)/n^4-7n^2+10

(n^2-6)(n^2-5)/(n^2-5(n^2-2)

Cancel the common factor, and n^2-6/n^2-2 is your answer.

Excluded values/restrictions are n= -sqrt5 n= -sqrt2, also n= sqrt5 n= sqrt2