Simplify the following by rationalising: ( 2√6)/(√2 + √3) + (6√2)/(√6 + √3) - ( 8√3)/(√6 + √2) 1/(2 + √3 - √(7 ))
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Answer:
2
+
3
2
6
+
6
+
3
6
2
−
6
+
2
8
3
=
(
3
+
2
)(
3
−
2
)
2
6
(
3
−
2
)
+
(
6
+
3
)(
6
−
3
)
6
2
(
6
−
3
)
−
(
6
+
2
)(
6
−
2
)
8
3
(
6
−
2
)
=
3−2
2
3×2×3
−2
3×2×2
+
6−3
6
2×3×2
−6
2×3
−
6−2
8(
3×3×2
−
3×2
)
=6
2
−4
3
+4
3
−2
6
−6
2
+2
6
=0
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