Question

If (√5+√2) x is a rational number then what is the value of x?

Answer 1

Step-by-step explanation:

If x is a rational number and y is an irrational number then sum of x+y is an irrational number.

Ifx is a rational number and y is an irrational number then xy⇒xy can be rational or irrational number ,like 0 and

3

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Answer 2

Step-by-step explanation:

We have,

2−

3

2+

3

=x+y

3

2−

3

2+

3

×

2+

3

2+

3

=x+y

3

2

2

−(

3

)

2

(2+

3

)

2

=x+y

3

4−3

4+3+4

3

=x+y

3

7+4

3

=x+y

3

On comparing both sides, we get

x=7,y=4

Hence, this is the answer.