1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard IX
Mathematics
Multiplication of Numbers with Square Roots
If √=√a-√b, t...
Question
If √[18-6√5] =√a-√b, then prove a + b= 18
Open in App
Solution
√a-√b=√(18-6√5)
Squaring both sides,
(√a-√b)²={√(18-6√5)}²
or, a+b-2√a√b=18-6√5
or, (a+b)-2√a√b=(15+3)-2.√15.√3
Comparing both sides we get,
a+b=15+3=18 (Proved)
Suggest Corrections
62
Similar questions
Q.
If
a
−
b
=
6
, then find the value of
a
3
−
b
3
−
18
a
b
Q.
If
a
=
6
p
and
b
=
3
p
, then
(
a
+
b
)
2
+
(
a
−
b
)
2
=
.
Q.
If
∫
3
e
x
−
5
e
−
x
4
e
x
+
5
e
−
x
d
x
=
a
x
+
b
ln
(
4
e
x
+
5
e
−
x
)
+
c
, then