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

find the value of a and b a+b√15=√5+√3/√5-√3

Open in App
Solution

( √5 + √3) / ( √5 - √3) = a + b √15

Rationlize it

(√5 +√3) / (√5 - √3) * (√5 + √3) / (√5 + √3)
= (8 + 2√15 ) / 2
= 4 + √15

Now compare both sides.

Answer: a = 4 , b = 1

Hope it helps
All the best.


flag
Suggest Corrections
thumbs-up
121
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Multiplication of Numbers with Square Roots
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon