Rationalise the denominator of
2√3÷√8
Answers
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Step-by-step explanation:
To rationalize the denominator of a fraction, multiply both the numerator and the denominator by the denominator's conjugate.
The conjugate of
3
−
√
2
is
3
+
√
2
=
8
3
−
√
2
=
8
(
3
−
√
2
)
⋅
(
3
+
√
2
)
(
3
+
√
2
)
=
8
(
3
+
√
2
)
(
3
−
√
2
)
(
3
+
√
2
)
=
24
+
8
√
2
3
2
+
3
√
2
−
3
√
2
−
(
√
2
)
2
=
24
+
8
√
2
9
−
2
=
24
+
8
√
2
7
This answer is as simplified as possible.
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