if 3+√7/3-√7 = a+b √7 then (a,b) =
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Answered by
1
Hi Friend !!!
Here is ur answer !!!
3+√7 / 3-√7 = a+b√7
3+√7 / 3-√7 × 3+√7/3+√7
= (3+√7)² / 3²-√7²
= 3²+√7²+2(√7)(3) /9-7
= 9+7+ 6√7 / 2
= 16+6√7 /2
= 8+3√7
So, a= 8
And b = 3
(a, b) = (8,3)
Hope it helps u : )
Here is ur answer !!!
3+√7 / 3-√7 = a+b√7
3+√7 / 3-√7 × 3+√7/3+√7
= (3+√7)² / 3²-√7²
= 3²+√7²+2(√7)(3) /9-7
= 9+7+ 6√7 / 2
= 16+6√7 /2
= 8+3√7
So, a= 8
And b = 3
(a, b) = (8,3)
Hope it helps u : )
Dhinu:
its 16 + 6✓7
b=3. .
check again
ans. is (a,b) = (8,3)
OK.....?
pardon me but second last step is still incorrect .. you have still written your final ans as .. (8,-3) ..
tq
you're welcome! :)
: )
Answered by
3
(3+√7)/(3-√7) = a + b√7
=================
Solving, (3+√7)/(3-√7)
By rationalization,
(3+√7)/(3-√7) × (3+√7)/(3+√7)
=> (3+√7)²/[3²-(√7)²]
=> (3+√7)²/(9-7)
=> (9+7+6√7)/2
=> (16+6√7)/2
=> 2(8+3√7)/2
=> 8 + 3√7
On comparing values,
8 + 3√7 = a + b√7
××××××××××××××
a = 8
b = 3
(a, b) = (8,3)
I hope this will help you
(-:
=================
Solving, (3+√7)/(3-√7)
By rationalization,
(3+√7)/(3-√7) × (3+√7)/(3+√7)
=> (3+√7)²/[3²-(√7)²]
=> (3+√7)²/(9-7)
=> (9+7+6√7)/2
=> (16+6√7)/2
=> 2(8+3√7)/2
=> 8 + 3√7
On comparing values,
8 + 3√7 = a + b√7
××××××××××××××
a = 8
b = 3
(a, b) = (8,3)
I hope this will help you
(-:
Thanks for choosing a brainlist answer
(-:
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