1780
You visited us
1780
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard IX
Mathematics
Operations on Rational and Irrational Numbers
If √7-1/√7+...
Question
If
√
7
−
1
√
7
+
1
+
√
7
+
1
√
7
−
1
=
a
+
b
√
7
, find the values of a and b.
Open in App
Solution
√
7
−
1
√
7
+
1
+
√
7
+
1
√
7
−
1
=
√
7
−
1
√
7
+
1
×
√
7
−
1
√
7
−
1
+
√
7
+
1
√
7
−
1
×
√
7
+
1
√
7
+
1
=
(
√
7
−
1
)
2
(
√
7
)
2
−
1
+
(
√
7
+
1
)
2
(
√
7
)
2
−
1
=
7
+
1
−
2
√
7
7
−
1
+
7
+
1
+
2
√
7
7
−
1
=
8
−
2
√
7
6
+
8
+
2
√
7
6
=
8
−
2
√
7
+
8
+
2
√
7
6
=
16
6
=
8
3
+
0
√
7
∴
8
3
+
0
√
7
=
a
+
b
√
7
⇒
a
=
8
3
,
b
=
0
.
Suggest Corrections
2
Similar questions
Q.
If
√
7
−
1
√
7
+
1
−
√
7
+
1
√
7
−
1
=
a
+
b
√
7
, then find the values of
a
and
b
.
Q.
Find the value of a
a
and
b
respectively, if
√
7
−
1
√
7
+
1
−
√
7
+
1
√
7
−
1
=
a
+
b
√
7
.
Q.
Factorise
98
(
a
+
b
)
2
−
2
Q.
If
y
=
√
√
7
+
7
+
√
8
+
2
√
7
−
√
7
, t
hen find the value of
y
.
Q.
Solve
√
7
−
1
√
7
+
1
−
√
7
+
1
√
7
−
1
=
a
+
b
√
7
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Identities for Irrational Numbers
MATHEMATICS
Watch in App
Explore more
Operations on Rational and Irrational Numbers
Standard IX Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app