Find a and b= √11-√7by√11+√7=a-b√77
Answers
Answered by
30
Solution:-
Now,
By Rationalization,
×
Now,
____________________________
On Denominator
By Formula :-
On Nominator,
By Formula :-
______________________________________
Then,
=
Then,
a =
a=
b=
b =
i hope this will help you
-by ABHAY
Now,
By Rationalization,
×
Now,
____________________________
On Denominator
By Formula :-
On Nominator,
By Formula :-
______________________________________
Then,
=
Then,
a =
a=
b=
b =
i hope this will help you
-by ABHAY
abhi569:
please go back and see it again
Answered by
20
Hi friend, Harish here.
Here is your answer:
Given that,
To find,
The value of a & b.
Solution:
First we must rationalize the denominator of the given number by multiplying and dividing with it's conjugate.
Conjugate of denominator is √11 - √7.
Then,
Here in the denominator to multiply we can use the identity:
(x+y)(x-y) = x² - y².
Then,
(√11 + √7) (√11 - √7) = (√11)² - (√7)² = 11 - 7 = 4
So,
⇒
⇒
Now by comparing the above equation , We get:
Hence these are the values of a & b.
__________________________________________________
Hope my answer is helpful to you
Here is your answer:
Given that,
To find,
The value of a & b.
Solution:
First we must rationalize the denominator of the given number by multiplying and dividing with it's conjugate.
Conjugate of denominator is √11 - √7.
Then,
Here in the denominator to multiply we can use the identity:
(x+y)(x-y) = x² - y².
Then,
(√11 + √7) (√11 - √7) = (√11)² - (√7)² = 11 - 7 = 4
So,
⇒
⇒
Now by comparing the above equation , We get:
Hence these are the values of a & b.
__________________________________________________
Hope my answer is helpful to you
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