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Byju's Answer
Standard X
Mathematics
Irrational Numbers
Giving reason...
Question
Giving reason in each case, show that each of the following numbers is irrational.
(i)
4
+
5
(ii)
-
3
+
6
(iii)
5
7
(iv)
-
3
8
(v)
2
5
(vi)
4
3
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Solution
(
i
)
4
+
5
because
the
sum
of
a
rational
number
and
an
irrational
number
is
an
irrational
number
.
(
ii
)
-
3
+
6
because
the
difference
of
a
rational
number
and
an
irrational
number
is
an
irrational
number
.
(
iii
)
5
7
because
the
product
of
a
rational
number
and
an
irrational
number
is
an
irrational
number
.
(
iv
)
-
3
8
because
the
product
of
a
rational
number
and
an
irrational
number
is
an
irrational
number
.
(
v
)
2
5
because
the
quotient
of
a
rational
number
and
an
irrational
number
is
an
irrational
number
.
(
vi
)
4
3
because
the
quotient
of
a
rational
number
and
an
irrational
number
is
an
irrational
number
.
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Similar questions
Q.
Represent each of the following rational numbers on the number line:
(i) 5
(ii) −3
(iii)
5
7
(iv)
8
3
(v) 1.3
(vi) −2.4
(vii)
23
6
