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

11-711+7=a-77b. Find a and b.


Open in App
Solution

Step 1: Rationalizing the denominator

11-711+7=11-711+7×11-711-7=(11-7)2(11)2-(7)2a-ba+b=a2-b2=(11)2+(7)2-211711-7a-b2=a2-2ab+b2=11+7-2774=18-2774=184-2774=92-1277

Step 2: Compare the rational and irrational part

Now,

a-77b=92-1277

Thus,

a=92 and b=12


flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Finding square root of a number
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon