(11) Rationalise the denominaton of root 6+ root3 and root 6 - root 3
and hence find ito value is root 2=1414
Answers
Answered by
5
Step-by-step explanation:
Given that:
6
−
3
6
+
3
Here R.F of
6
−
3
is
6
+
3
=
6
−
3
6
+
3
×
6
+
3
6
+
3
=
(
6
)
2
−(
3
)
2
(
6
+
3
)
2
∵(a−b)(a+b)=a
2
−b
2
=
6−3
(
6
)
2
+(
3
)
2
+2
6
×
3
∵(a+b)
2
=a
2
+2ab+b
2
=
3
6+3+2
18
=
3
9+6
2
=
3
3(3+2
2
)
=3+2
2
∴
6
+
3
6
+
3
=3+2
2
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