-3
-3
0
2
6
9. If
O
р
q
find the value of
a
3
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Class 6
>>Maths
>>Knowing Our Numbers
>>Estimating and Rounding Off
>>If √(2)+√(3)3√(2)- 2√(3) = a + b√(6) f
Question
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If
3
2
−2
3
2
+
3
=a+b
6
find the value of a&b.
Medium
Solution
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If
3
2
−2
3
2
+
3
=a+b
b
3
2
−2
3
2
+
3
=
(3
2
−2
3
)(3
2
+2
3
)
(
2
+
3
)(3
2
+2
3
)
(Rationalization)
=
(3
2
2
)−(2
3
)
2
6+2
6
+3
6
+6
((3
2
2
)=9×2=18)
=
18−12
12+5
6
(2
3
)
2
=4×3=12
=
6
12+5
6
=2+
6
5
6
∴a=2 and
b=
6
5
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