First slide

Theory of expressions

Question

The value of $\sqrt{8 + 2 \sqrt{8 + 2 \sqrt{8 + 2 \sqrt{8 + \dots}}}}$ is

Moderate

A

10
B

6
C

8
D

none of these

Solution

$y = \sqrt{8 + 2 \sqrt{8 + 2 \sqrt{8 + 2 \sqrt{8 + \dots}}}}$
$\Rightarrow y^{2} = 8 + 2 y \Rightarrow y^{2} - 2 y - 8 = 0$
$\Rightarrow y = 4, - 2 . As y > 0, y = 4$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App