Question

find the solution of √2+5√2​

Answer 1

Answer:

N=

5

+1

5

+2

+

5

−2

−

3−2

2

Consider,

A=

5

+2

+

5

−2

Squaring both sides

A

2

=

5

+2+

5

−2+2(

5

+2

)(

5

−2

)

⇒A

2

=2

5

+2

5−4

⇒A

2

=2

5

+2

⇒A

2

=2(

5

+1)

So,

A=±

2

5

+1

Now Consider

3−2

2

=

2+1−2

2

=

(

2

−1)

2

=

2

−1

So,

N=

5

+1

2

5

+1

−(

2

−1)

Or

N=−

5

+1

2

5

+1

−(

2

−1)

⇒N=

2

−

2

+1

Or

N=−

2

−

2

+1

⇒N=1

Or N=−2

2

+1

Answer 2

√2+5√2

(5+1) (√2)

6√2

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