Question

if x=9+4 root 5 find ✓x+1/✓x​

Answer 1

Answer:

4

Step-by-step explanation:

x=(9+4√5)

x=(4+5+4√5)

=(2^2 +√5^2+2×2×√5)

=(2+√5)^2

so,

√x= 2+√5

1/√x=1/2+√5

after rationalising

1/√x=2-√5

√x+1/√x=(2+√5)+(2-√5)

=2+√5+2-√5

=4