Advertisement Remove all ads

The Value of √ 3 − 2 √ 2 is - Mathematics

MCQ

The value of \[\sqrt{3 - 2\sqrt{2}}\] is 

Options

  • \[\sqrt{2} - 1\]

  • \[\sqrt{2} + 1\]

  • \[\sqrt{3} - \sqrt{2}\]

  • \[\sqrt{3} + \sqrt{2}\]

Advertisement Remove all ads

Solution

Given that:`sqrt(3 -2sqrt2)` It can be written in the form   `(a-b)^2 = a^2+b^2 -2ab` as

`sqrt(3 -2sqrt2) = sqrt(2+1-2 xx 1 xxsqrt2)` 

` = sqrt((sqrt2 )^2 + (1)^2 - 2 xx 1 xx sqrt2)`

`=  sqrt((sqrt2-1)^2)`

` = sqrt2 - 1.`

  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 3 Rationalisation
Q 19 | Page 17
Advertisement Remove all ads

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×