How would you simplify and do these problems?

(square root of) 2/5 + (square root of) 1/2

8 - (square root of) 5/7

I understand the concept... I just always get these wrong for some reason, so please be detailed so I can understand! Thanks!

2. Originally Posted by chandler
How would you simplify and do these problems?

(square root of) 2/5 + (square root of) 1/2

8 - (square root of) 5/7

I understand the concept... I just always get these wrong for some reason, so please be detailed so I can understand! Thanks!
Are there two separate questions there?

Is the first one $\sqrt {\dfrac{2}{5}} + \sqrt {\dfrac{1}{2}}~?$

3. ## Yes, two seperate

Yes, these are two different equations.

Also... How do you make the square root symbol?

4. Originally Posted by chandler
How would you simplify and do these problems?

(square root of) 2/5 + (square root of) 1/2

8 - (square root of) 5/7

I understand the concept... I just always get these wrong for some reason, so please be detailed so I can understand! Thanks!
$\displaystyle \sqrt{\frac{2}{5}} + \sqrt{\frac{1}{2}} = \sqrt{\frac{4}{10}} + \sqrt{\frac{5}{10}}$

$\displaystyle = \frac{\sqrt{4}}{\sqrt{10}} + \frac{\sqrt{5}}{\sqrt{10}}$

$\displaystyle = \frac{\sqrt{4} + \sqrt{5}}{\sqrt{10}}$

$\displaystyle = \frac{2 + \sqrt{5}}{\sqrt{10}}$

$\displaystyle = \frac{\sqrt{10}(2 + \sqrt{5})}{10}$

$\displaystyle = \frac{2\sqrt{10} + \sqrt{50}}{10}$

$\displaystyle = \frac{2\sqrt{10} + \sqrt{25}\sqrt{2}}{10}$

$\displaystyle = \frac{2\sqrt{10} + 5\sqrt{2}}{10}$.

5. Originally Posted by chandler
How do you make the square root symbol?
$$\sqrt {\dfrac{2}{5}} + \sqrt {\dfrac{1}{2}}$$ gives $\sqrt {\dfrac{2}{5}} + \sqrt {\dfrac{1}{2}}$

6. ## Thanks guys!

One more thing...

Please do this one too: $\sqrt {\dfrac{1}{2}} + \sqrt {\dfrac{1}{2}}$ =

7. Originally Posted by chandler
One more thing...

Please do this one too: $\sqrt {\dfrac{1}{2}} + \sqrt {\dfrac{1}{2}}$ =
$\sqrt {\dfrac{1}{2}}={\dfrac{\sqrt2}{2}}$