Question

If x is equal to 3+2√2 find the value of √x +1/√x

Answer 1

ANSWER

2

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Answer 2

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Answer:

24+5√2

Step-by-step explanation:

x = 3+√2

1/x = 1/3+√2

rationalizing the denominator we get

1/3+√2×3-√2/3-√2

= 3-√2 / (3^2)-(√2^2)

= 3-√2 / 9-2

= 3-√2/7

x+1/x = 3+√2 + 3-√2/7

LCM(1&7) = 7

= 7(3+√2)+3-√2/7

= 21+7√2+3-2√2/7

= 24+5√2/7

HOPE IT IS CORRECT