If ,a and b are rational numbers find the value of a and b in each of the equation ✓3+✓2✓3-✓2 =a+b✓6
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Asked on January 17, 2020 by
Anitha Anbalagan
If
′
a
′
and
′
b
′
are rational numbers, find the value of a and b in each of the following equations.
3
−
2
3
+
2
=a+b
6
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ANSWER
3
−
2
3
+
2
=a+6
b
consider,
3
−
2
3
+
2
=
(
3
−
2
)(
3
+
2
)
(
3
+
2
)(
3
+
2
)
=
(
3
)
2
−(
2
)
2
(
3
)
2
+2×
3
×
2
+(
2
)
2
=
3−2
3+2
6
+2
=5+2
6
∴a+b
6
=5+2
6
Here a=5 and b=2
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