CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If x=13+23, find the value of x1x.

Open in App
Solution

It is given that x=13+23. Then,

1x=113+23

x1x=(13+23)1(13+23)

=(13+23)21(13+23)

=13+12+439113+23

=2443913+23

Rationalizing the denominator,

24+43913+23×13231323=(24+439)(1323)(13+23)(1323)

=2413483+413×3×13813×3×3(13)2(23)2

=2413483+52324131312

=431

=43


flag
Suggest Corrections
thumbs-up
8
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Laws of Indices
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon