Adding Square Roots

[Jason76]

How does \(\displaystyle \dfrac{\sqrt{2}}{2}+ \dfrac{\sqrt{2}}{2} = 2\)?

Any starting hints?

 

[wjm11]

How does \(\displaystyle \dfrac{\sqrt{2}}{2}+ \dfrac{\sqrt{2}}{2} = 2\)?

Any starting hints?

Your equation is not true. The left hand side is equal to sqrt2, about 1.414. Try it using a calculator.

 

[HallsofIvy]

How does \(\displaystyle \dfrac{\sqrt{2}}{2}+ \dfrac{\sqrt{2}}{2} = 2\)?

Any starting hints?

As wjm11 told you, it doesn't! What is true is that \(\displaystyle \frac{a}{2}+ \frac{a}{2}= \frac{2a}{2}= a\) for any number, a. \(\displaystyle \frac{\sqrt{2}}{2}+ \frac{\sqrt{2}}{2}= \sqrt{2}\).

 

[mmm4444bot]

\(\displaystyle \frac{a}{2}+ \frac{a}{2}= \frac{2a}{2}= a\) for any number, a.

Indeed.

Joining two halves makes a whole, Jason. You know that. Are you trying to point out another typo in your book?

 

[Jason76]

Indeed.

Joining two halves makes a whole, Jason. You know that. Are you trying to point out another typo in your book?

Must of been a typo or accidently read the problem wrong.