Algebra Simplify

Algebra Level 2

What is 2 2 5 + 5 \dfrac { 2\sqrt { 2 } }{ \sqrt { 5+\sqrt { 5 } } } equal to?

50 − 10 5 5 \frac { \sqrt { 50-10\sqrt { 5 } } }{ 5 } 50 − 5 5 5 \frac { \sqrt { 50-5\sqrt { 5 } } }{ 5 }

Marcelo M by Marcelo M , 21, Spain

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

5 ( 2 2 ) = 5 + 5 50 − 10 5 ⇒ 10 2 = ( 50 − 10 5 ) ( 5 + 5 ) ⇒ 10 2 = = 200 ⇒ 10 2 = = 10 2 ⇒ True 5 \left(2 \sqrt{2}\right)=\sqrt{\sqrt{5}+5} \sqrt{50-10 \sqrt{5}} \Rightarrow 10 \sqrt{2}=\sqrt{\left(50-10 \sqrt{5}\right) \left(\sqrt{5}+5\right)} \Rightarrow 10 \sqrt{2}== \sqrt{200} \Rightarrow 10 \sqrt{2}==10 \sqrt{2} \Rightarrow \text{True}

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...