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Byju's Answer
Standard X
Mathematics
Rational Numbers
Examine, whet...
Question
Examine, whether the following numbers are rational or irrational:
(
3
+
√
3
)
(
3
−
√
3
)
.
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Solution
Given,
(
3
+
√
3
)
(
3
−
√
3
)
.
Since
(
a
+
b
)
(
a
−
b
)
=
a
2
−
b
2
,
(
3
+
√
3
)
(
3
−
√
3
)
=
(
3
)
2
−
(
√
3
)
3
=
9
−
3
=
6
.
Since
6
is rational number, then
(
3
+
√
3
)
(
3
−
√
3
)
is a rational number.
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