find two irrational numbers between root 3 and root 5.
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Answered by
117
Hey friend, Harish here.
Here is your answer:
We know that:
√3 = 1.7320..........
√5 =2.2360.............
So,Two irrational numbers between them are:
1.75755755575555............
&
2.10100100010000...........
These are two irrational numbers between.√3 & √5. But there are many.
__________________________________________
Hope my answer is helpful to you.
Here is your answer:
We know that:
√3 = 1.7320..........
√5 =2.2360.............
So,Two irrational numbers between them are:
1.75755755575555............
&
2.10100100010000...........
These are two irrational numbers between.√3 & √5. But there are many.
__________________________________________
Hope my answer is helpful to you.
Answered by
36
(3√3 + √5)/4 , (√3 + √5)/2 , (√3 + 3√5)/4 are irrational number between √3 & √5
Step-by-step explanation:
irrational number between √3 & √5 = (√3 + √5)/2
√3 < (√3 + √5)/2 < √5
Further irrational number
(√3 + (√3 + √5)/2)/2 = (3√3 + √5)/4
and
( (√3 + √5)/2 + √5)/2 = (√3 + 3√5)/4
√3 < (3√3 + √5)/4 < (√3 + √5)/2 < (√3 + 3√5)/4< √5
(3√3 + √5)/4 , (√3 + √5)/2 , (√3 + 3√5)/4 are irrational number between √3 & √5
Another method
irrational number between √3 & √5
squaring both 3 5
(3 + 5)/2 = 4 but perfect square
(3 + 4)/2 = 7/2 & (4 + 5)/2 = 9/2
√(7/2) & √(9/2) are Rational number between √3 & √5
Learn more:
insert 5 irrational number between 2 root 5 and 3 root 3 - Brainly.in
https://brainly.in/question/7810457
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