Question

If x=3+2√2
Find √x+1÷√x and √x-1÷√x


Plzzz answer it fast

Answer 1

Answer:

GIVEN

x=3+2√2

1/x=1/(3+2√2)

after rationalisiation

1/x=3-2√2

now,

x+1/x=3+2√2+3-2√2

x+1/x=6

(√x)²+(1/√x)²+2=8

(√x+1/√x)²=8

√x+1/√x=±2√2(first solution)

now,

x+1/x=6

(√x)²+(1/√x)²-2=4

(√x-1/√x)²4

√x-1/√x-±2(second solution)

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