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Byju's Answer
Standard IX
Mathematics
Surds
Let x=√50+7...
Question
Let
x
=
(
√
50
+
7
)
2
/
3
−
(
√
50
−
7
)
2
/
3
A
x
=
2
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B
x
=
3
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C
x
is a rational number, but not an integer
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D
x
is an irrational number
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Solution
The correct option is
D
x
is an irrational number
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Similar questions
Q.
Let
x
=
(
√
50
+
7
)
1
3
−
(
√
50
−
7
)
1
3
Q.
Give an example of a number x such that x
2
is an irrational number and x
3
is a rational number.
Q.
If the zeros of the polynomial x
3
− 3x
2
+ x + 1 are a −d, a and a + d, then a + d is
(a) a natural number
(b) an integer
(c) a rational number
(d) an irrational number
Q.
Are the following pairs of statements negations of each other?
(i) The number
x
is not a rational number
The number
x
is not an irrational number
(ii) The number
x
is a rational number
The number
x
is an irrational number
Q.
Are the following pairs of statements are negation of each other:
(i) The number x is not a rational number.
The number x is not an irrational number.
(ii) The number x is not a rational number.
The number x is an irrational number.
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