u²=17/4, In the given equation, find whether variables x, y, z etc. represent rational or irrational numbers.
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Answered by
34
U² = 17 / 4
=> U = √17/4
√ 17 cannot be simplified. Hence it will remain as √17 as such.
√ 4 = 2
Hence U is equal to :
U = + √17 / 2 , - √17 / 2
Since √ 17 is an irrational number, √ 17 / 2 is also an irrational number.
Answered by
35
Now,
u² = 17/4
or, u² = {(√17)/2}²
or, u = ± (√17)/2
We know that √17 is an irrational number; so
± (√17)/2 are also an irrational number
∴ u is an irrational number
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