wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If x=5+353 and y=535+3, then find x+y+xy
[4]


Open in App
Solution

Given: x=5+353 and y=535+3
Consider x=5+353

Rationallsing the denominator.

x=(5+3)2(53)(5+3)
x=(5)2+215+(3)2(5)2(3)2
x=5+215+353
x=8+2152
x=4+15
[1.5]
Consider, y=535+3
Rationalising the denominator,

y=(53)2(5+3)(53)
y=(5)2215+(3)2(5)2(3)2
y=5215+353
y=82162
y=415
[1.5]
Now, x+y+xy
=4+15+415+(4+15)(415)
=8+42(15)2
=8+1615
=9
[1]

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Division of Surds by Rationalisation
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon