answwr this pls....maths
Answers
Step-by-step explanation:
a] part...
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〰Given that :- 4√2
〰To prove :- 4√2 is an irrational number .
⚫We shall prove this by the method of Contraction . so let us assume that 4√2 is a Rational Number .
4√2 = r
√2 = r/4
Now, we know √2 is an irrational number.
So RHS { r/4 } cannot be rational . As then the equation will be false .
So our Assumption is Wrong .
Hence , 4√2 is an irrational number .
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b] part.....
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Let us assume that 3 + √5 is a rational number.
Now,
3 + √5 = (a ÷ b)
[Here a and b are co-prime numbers]
√5 = [(a ÷ b) - 3]
√5 = [(a - 3b) ÷ b]
Here, {(a - 3b) ÷ b} is a rational number.
But we know that √5 is a irrational number.
So, {(a - 3b) ÷ b} is also a irrational number.
So, our assumption is wrong.
3 + √5 is a irrational number.
Hence, proved.
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hope it helps you sindhu;!plz Mark as brainliest answer!;)
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