Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

let a,b,c,d,be positive rationals such that a + sqrt(b) = c + sqrt(d), then either a = c and b = d or b and d are squares of rationals. I found answer here https://www.askiitians.com/forums/10-grade-maths/let-a-b-c-d-be-positive-rationals-such-that-a-b-c_195695.htm but can we not write simply like this: a + sqrt(b) = c + sqrt(d) a = c + sqrt (d) – sqrt (b) as given a is rational hence sqrt (d) and sqrt (b) are rationals. As for RHS to be rational both sqrt has to be rationals i.e d and b are perfect squares.

let a,b,c,d,be positive rationals such that a + sqrt(b) = c + sqrt(d), then either a = c and b = d or b and d are squares of rationals.
 
but can we not write simply like this:
a + sqrt(b) = c + sqrt(d)
a = c + sqrt (d) – sqrt (b)
as given a is rational hence sqrt (d) and sqrt (b) are rationals. As for RHS to be rational both sqrt has to be rationals i.e d and b are perfect squares.

Grade:12th pass

1 Answers

Arun
25763 Points
2 years ago
Dear student
 
a + sqrt (b) means b is in shortest form and not a perfect square.
 
Hope it helps
 
Regards
Arun (askIITians forum expert)

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free