Simplify 3/4×(4)1/3÷(3)1/4
2 answers:
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Answer:
(a) Set of rational numbers
(b)
Step-by-step explanation:
Solving (a): Set that is closed under subtraction
The solution to this is rational numbers.
For a set of number to be closed under subtraction, the following condition must be true
Where
a, b, c are of the same set.
The above is only true for rational numbers.
e.g.
The operations and the result in the above samples are rational numbers.
Solving (b): Choice not close under addition[See attachment for options]
As stated in (a)
For a set of number to be closed under subtraction, the following condition must be true
Where
a, b, c are of the same set.
In the given options (a) to (d), only
is not close under addition because:
is irrational while
is rational
<em>In other words, they belong to different set</em>
Alright, lets get started.
Lets check each possible answer one by one.
We will start from option B.
BC is from small triangle and its corresponding side is DF, so its ratio will be not
as given in option. Hence option B is incorrect.
For option C,
Angle a° and angle f° are not similar angles, if they were similar, then only their ratio will be 1 otherwise not 1. Hence option C is incorrect.
For option D,
Angle c° and angle f° are similar angles so, their ratio will be . Hence option D is incorrect.
Now option A,
ED and AB are corresponding sides. ED is from bigger triangle and AB is from smaller triangle. Their ratio will be . Hence option A is correct answer.
Hope it will help :)