If x = \sqrt3+\sqrt 2, then the value of (x^2+1/x^2) is:

Algebra and Applications Test 3

Question : 15 of 25

Marks: +1, -0

x = √3+√ 2

, then the value of

(x^2+1/x^2)

is:

Solution:

x = √3+√ 2 ⇒1/x=√3-√2

⇒x+1/x=2√3

Squaring both sides,

x^2+1/x^2+2=12

x^2+1/x^2 =10

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