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Standard IX
Mathematics
Multiplication of Surds
Question
If
√
7
−
1
√
7
+
1
−
√
7
+
1
√
7
−
1
=
a
+
b
√
7
, then find the value of
a
and
b
.
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Solution
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√
7
−
1
√
7
+
1
−
√
7
+
1
√
7
−
1
=
a
+
b
√
7
⇒
(
√
7
−
1
)
2
−
(
√
7
+
1
)
2
(
√
7
+
1
)
(
√
7
−
1
)
=
a
+
b
√
7
⇒
7
+
1
−
2
√
7
−
7
−
1
−
2
√
7
(
√
7
)
2
−
(
1
)
2
=
a
+
b
√
7
⇒
−
4
√
7
6
=
a
+
b
√
7
⇒
0
−
2
3
√
7
=
a
+
b
√
7
⇒
a
=
0
,
b
=
−
2
3
.
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Similar Questions
Q1
If
√
7
−
1
√
7
+
1
−
√
7
+
1
√
7
−
1
=
a
+
b
√
7
, then find the value of
a
and
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.
View Solution
Q2
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√
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+
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−
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=
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+
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, then find the values of a and b.
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Q3
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−
1
√
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+
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−
√
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+
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√
7
−
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=
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+
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.
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Q4
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, t
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