solve (2 + root 3) (2-root 3)
Answers
Answered by
0
We seek a square root of
3
−
2
√
2
. This must have the form
a
+
b
√
2
.
(
a
+
b
√
2
)
2
=
a
2
+
2
a
b
√
2
+
2
b
2
So
a
2
+
2
b
2
=
3
and
2
a
b
=
−
2
⇒
a
b
=
−
1
These are two simultaneous equations for
a
and
b
.
Rearrange the second:
b
=
−
1
a
Substitute into the first:
a
2
+
2
a
2
=
3
a
4
+
2
=
3
a
2
a
4
−
3
a
2
+
2
=
0
Note that this is a quadratic in
a
2
:
(
a
2
)
2
−
3
(
a
2
)
+
2
=
0
Factorise:
Answered by
0
Pls mark as brainliest answer
Attachments:
Similar questions