Question

If x = 2√3 + 2√2. find :​

Answer 1

Answer:

x=3+2

2

⇒

x

1

=

3+2

2

1

⇒

x

1

=

3+2

2

1

×

(3−2

2

)

(3−2

2

)

=

(3

2

−(2

2

)

2

)

3+2

2

=

9−8

3−2

2

=3−2

2

∴x+

x

1

=3+2

2

+3−2

2

⇒x+

x

1

=6⇒x+

x

1

−2=6−2⇒

⎝

⎛

(

x

)

2

+(

x

1

)

2

−2×

x

×

x

1

⎠

⎞

=4

⇒(

x

−

x

1

)

2

=4⇒

x

−

x

1

=±

4

=±2

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