Question

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

Answer 1

Answer:

The answer is d

$\frac{ \sqrt{2} }{2}$

Step-by-step explanation:

$\sqrt{ \frac{1}{2} } + \sqrt{ \frac{1}{2} } \\ = \sqrt{ \frac{2}{4} }$

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

$\sqrt{ \frac{2}{4} } \\ = \frac{ \sqrt{2} }{2}$

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

Hope this helps

Answer 2

Answer:

C

Step-by-step explanation:

$\frac{1}{\sqrt{2} }$ + $\frac{1}{\sqrt{2} }$

= $\frac{2}{\sqrt{2} }$ ( multiply numerator/ denominator by $\sqrt{2}$ to rationalise the denominator )

= $\frac{2(\sqrt{2}) }{\sqrt{2}(\sqrt{2}) }$

= $\frac{2\sqrt{2} }{2}$

= $\sqrt{2}$ → C