rationalize the denominator 4/3√2
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Step-by-step explanation:
We rationalise the denominator of (
3
+
2
4
3
+
2
) by multiplying its rationalising factor (
3
−
2
) in the numerator and denominator as follows:
3
+
2
4
3
+
2
×
3
−
2
3
−
2
=
(
3
+
2
)(
3
−
2
)
(4
3
+
2
)(
3
−
2
)
=
(
3
)
2
−(
2
)
2
4
3
(
3
−
2
)+
2
(
3
−
2
)
=
3−2
(4
3×3
)−(4
3×2
)+(
2×3
)−(
2×2
)
=
1
4
9
−4
6
+
6
−
4
=(4×3)−3
6
−2=12−2−3
6
=10−3
6
Hence,
3
+
2
4
3
+
2
=10−3
6
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