Question

How can i solve it (i need an explanation please) ​

Answer 1

The answer is d

`( √(2) )/(2)`

Explanation:

`\sqrt{ (1)/(2) } + \sqrt{ (1)/(2) } \\ = \sqrt{ (2)/(4) }`

The reason it is like √2/4 is because 1/2 and 1/2 are the same so you just add them

To complete it we know that 4 is a perfect square

and it can be divided by 2

`\sqrt{ (2)/(4) } \\ = ( √(2) )/(2)`

The reason why the two is left like that is because is not a perfect square

Hope this helps

Answer 2

C

Explanation:

`(1)/(√(2) )` +
`(1)/(√(2) )`

=
`(2)/(√(2) )` ( multiply numerator/ denominator by
`√(2)` to rationalise the denominator )

=
`(2(√(2)) )/(√(2)(√(2)) )`

=
`(2√(2) )/(2)`

=
`√(2)` → C